96672960 has 224 divisors, whose sum is σ = 348203520. Its totient is φ = 25242624.

The previous prime is 96672959. The next prime is 96672977. The reversal of 96672960 is 6927669.

It is a super-2 number, since 2×96672960² = 18691322390323200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578797 + ... + 578963.

It is an arithmetic number, because the mean of its divisors is an integer number (1554480).

Almost surely, 2^96672960 is an apocalyptic number.

96672960 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 96672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174101760).

96672960 is an abundant number, since it is smaller than the sum of its proper divisors (251530560).

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

96672960 is a wasteful number, since it uses less digits than its factorization.

96672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 96672960 is about 9832.2408432666. The cubic root of 96672960 is about 458.9531328968.

The spelling of 96672960 in words is "ninety-six million, six hundred seventy-two thousand, nine hundred sixty".