88492320 has 144 divisors (see below), whose sum is σ = 345159360. Its totient is φ = 20224512.

The previous prime is 88492319. The next prime is 88492337. The reversal of 88492320 is 2329488.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5691 + ... + 14469.

It is an arithmetic number, because the mean of its divisors is an integer number (2396940).

Almost surely, 2^88492320 is an apocalyptic number.

88492320 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 88492320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172579680).

88492320 is an abundant number, since it is smaller than the sum of its proper divisors (256667040).

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

88492320 is a wasteful number, since it uses less digits than its factorization.

88492320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8807 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 88492320 is about 9407.0356648628. The cubic root of 88492320 is about 445.6239532349.

The spelling of 88492320 in words is "eighty-eight million, four hundred ninety-two thousand, three hundred twenty".