96752880 has 320 divisors, whose sum is σ = 390451200. Its totient is φ = 21835008.

The previous prime is 96752867. The next prime is 96752911. The reversal of 96752880 is 8825769.

It is a super-2 number, since 2×96752880² = 18722239576588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1224681 + ... + 1224759.

It is an arithmetic number, because the mean of its divisors is an integer number (1220160).

Almost surely, 2^96752880 is an apocalyptic number.

96752880 is a gapful number since it is divisible by the number (90) 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 96752880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195225600).

96752880 is an abundant number, since it is smaller than the sum of its proper divisors (293698320).

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

96752880 is an equidigital number, since it uses as much as digits as its factorization.

96752880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 96752880 is about 9836.3041839911. The cubic root of 96752880 is about 459.0795709801.

The spelling of 96752880 in words is "ninety-six million, seven hundred fifty-two thousand, eight hundred eighty".