88924320 has 144 divisors (see below), whose sum is σ = 311842440. Its totient is φ = 23058432.

The previous prime is 88924307. The next prime is 88924321. The reversal of 88924320 is 2342988.

It can be written as a sum of positive squares in 4 ways, for example, as 84713616 + 4210704 = 9204^2 + 2052^2 .

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 not an unprimeable number, because it can be changed into a prime (88924321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52446 + ... + 54114.

Almost surely, 2^88924320 is an apocalyptic number.

88924320 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 88924320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155921220).

88924320 is an abundant number, since it is smaller than the sum of its proper divisors (222918120).

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

88924320 is a wasteful number, since it uses less digits than its factorization.

88924320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1716 counting only the distinct ones).

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

The square root of 88924320 is about 9429.9692470336. The cubic root of 88924320 is about 446.3479223944.

The spelling of 88924320 in words is "eighty-eight million, nine hundred twenty-four thousand, three hundred twenty".