96752960 has 56 divisors (see below), whose sum is σ = 231745536. Its totient is φ = 38474240.

The previous prime is 96752951. The next prime is 96752963. The reversal of 96752960 is 6925769.

It is a super-2 number, since 2×96752960² = 18722270537523200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96752963) 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, 60329 + ... + 61911.

Almost surely, 2^96752960 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 96752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115872768).

96752960 is an abundant number, since it is smaller than the sum of its proper divisors (134992576).

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

96752960 is a wasteful number, since it uses less digits than its factorization.

96752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 96752960 is about 9836.3082505582. The cubic root of 96752960 is about 459.0796975098.

The spelling of 96752960 in words is "ninety-six million, seven hundred fifty-two thousand, nine hundred sixty".