191392896 has 64 divisors (see below), whose sum is σ = 509893920. Its totient is φ = 63608832.

The previous prime is 191392847. The next prime is 191392907. The reversal of 191392896 is 698293191.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200356 + ... + 201308.

Almost surely, 2^191392896 is an apocalyptic number.

191392896 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 191392896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254946960).

191392896 is an abundant number, since it is smaller than the sum of its proper divisors (318501024).

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

191392896 is an equidigital number, since it uses as much as digits as its factorization.

191392896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1481 counting only the distinct ones).

The product of its digits is 209952, while the sum is 48.

The square root of 191392896 is about 13834.4821370372. The cubic root of 191392896 is about 576.2911336887.

The spelling of 191392896 in words is "one hundred ninety-one million, three hundred ninety-two thousand, eight hundred ninety-six".