191200896 has 96 divisors (see below), whose sum is σ = 553140900. Its totient is φ = 63393792.

The previous prime is 191200879. The next prime is 191200897. The reversal of 191200896 is 698002191.

191200896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 135489600 + 55711296 = 11640^2 + 7464^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 191200896.

It is not an unprimeable number, because it can be changed into a prime (191200897) 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, 309580 + ... + 310196.

Almost surely, 2^191200896 is an apocalyptic number.

191200896 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 191200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276570450).

191200896 is an abundant number, since it is smaller than the sum of its proper divisors (361940004).

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

191200896 is a wasteful number, since it uses less digits than its factorization.

191200896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 191200896 is about 13827.5412131008. The cubic root of 191200896 is about 576.0983628314.

The spelling of 191200896 in words is "one hundred ninety-one million, two hundred thousand, eight hundred ninety-six".