88920320 has 72 divisors (see below), whose sum is σ = 215061504. Its totient is φ = 35223552.

The previous prime is 88920301. The next prime is 88920331. The reversal of 88920320 is 2302988.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162287 + ... + 162833.

Almost surely, 2^88920320 is an apocalyptic number.

88920320 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 88920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107530752).

88920320 is an abundant number, since it is smaller than the sum of its proper divisors (126141184).

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

88920320 is a wasteful number, since it uses less digits than its factorization.

88920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 88920320 is about 9429.7571548794. The cubic root of 88920320 is about 446.3412297428.

The spelling of 88920320 in words is "eighty-eight million, nine hundred twenty thousand, three hundred twenty".