96902784 has 128 divisors (see below), whose sum is σ = 312120000. Its totient is φ = 29352960.

The previous prime is 96902783. The next prime is 96902801. The reversal of 96902784 is 48720969.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (96902783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36742 + ... + 39290.

Almost surely, 2^96902784 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 96902784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156060000).

96902784 is an abundant number, since it is smaller than the sum of its proper divisors (215217216).

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

96902784 is a wasteful number, since it uses less digits than its factorization.

96902784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 96902784 is about 9843.9211699404. The cubic root of 96902784 is about 459.3165401659.

The spelling of 96902784 in words is "ninety-six million, nine hundred two thousand, seven hundred eighty-four".