96765520 has 80 divisors (see below), whose sum is σ = 232485120. Its totient is φ = 37440000.

The previous prime is 96765511. The next prime is 96765563. The reversal of 96765520 is 2556769.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385395 + ... + 385645.

It is an arithmetic number, because the mean of its divisors is an integer number (2906064).

Almost surely, 2^96765520 is an apocalyptic number.

96765520 is the 8032-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96765520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242560).

96765520 is an abundant number, since it is smaller than the sum of its proper divisors (135719600).

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

96765520 is a wasteful number, since it uses less digits than its factorization.

96765520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 96765520 is about 9836.9466807541. The cubic root of 96765520 is about 459.0995618169.

The spelling of 96765520 in words is "ninety-six million, seven hundred sixty-five thousand, five hundred twenty".