191257056 has 72 divisors (see below), whose sum is σ = 546810264. Its totient is φ = 63409920.

The previous prime is 191257049. The next prime is 191257057. The reversal of 191257056 is 650752191.

191257056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×191257056² = 73158522939574272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 191257056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191257057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55051 + ... + 58421.

It is an arithmetic number, because the mean of its divisors is an integer number (7594587).

Almost surely, 2^191257056 is an apocalyptic number.

191257056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191257056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273405132).

191257056 is an abundant number, since it is smaller than the sum of its proper divisors (355553208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

191257056 is a wasteful number, since it uses less digits than its factorization.

191257056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 191257056 is about 13829.5717938048. The cubic root of 191257056 is about 576.1547616551.

The spelling of 191257056 in words is "one hundred ninety-one million, two hundred fifty-seven thousand, fifty-six".