96132960 has 576 divisors, whose sum is σ = 445616640. Its totient is φ = 18800640.

The previous prime is 96132931. The next prime is 96132979. The reversal of 96132960 is 6923169.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5654872 + ... + 5654888.

It is an arithmetic number, because the mean of its divisors is an integer number (773640).

Almost surely, 2^96132960 is an apocalyptic number.

96132960 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 96132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222808320).

96132960 is an abundant number, since it is smaller than the sum of its proper divisors (349483680).

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

96132960 is a wasteful number, since it uses less digits than its factorization.

96132960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 96132960 is about 9804.7417100095. The cubic root of 96132960 is about 458.0969900678.

The spelling of 96132960 in words is "ninety-six million, one hundred thirty-two thousand, nine hundred sixty".