96811904 has 64 divisors (see below), whose sum is σ = 222082560. Its totient is φ = 41178624.

The previous prime is 96811903. The next prime is 96811909. The reversal of 96811904 is 40911869.

96811904 = 483² + 484² + ... + 738².

It is a happy number.

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

It is a super-2 number, since 2×96811904² = 18745089512210432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96811903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149309 + ... + 149955.

It is an arithmetic number, because the mean of its divisors is an integer number (3470040).

Almost surely, 2^96811904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96811904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280).

96811904 is an abundant number, since it is smaller than the sum of its proper divisors (125270656).

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

96811904 is a wasteful number, since it uses less digits than its factorization.

96811904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 96811904 is about 9839.3040404289. The cubic root of 96811904 is about 459.1729056845.

The spelling of 96811904 in words is "ninety-six million, eight hundred eleven thousand, nine hundred four".