88672320 has 280 divisors, whose sum is σ = 345204288. Its totient is φ = 21427200.

The previous prime is 88672319. The next prime is 88672333. The reversal of 88672320 is 2327688.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284965 + ... + 285275.

Almost surely, 2^88672320 is an apocalyptic number.

88672320 is a gapful number since it is divisible by the number (80) 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 88672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172602144).

88672320 is an abundant number, since it is smaller than the sum of its proper divisors (256531968).

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

88672320 is a wasteful number, since it uses less digits than its factorization.

88672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 88672320 is about 9416.5981118449. The cubic root of 88672320 is about 445.9258927592.

The spelling of 88672320 in words is "eighty-eight million, six hundred seventy-two thousand, three hundred twenty".