88824320 has 160 divisors (see below), whose sum is σ = 244390608. Its totient is φ = 30670848.

The previous prime is 88824311. The next prime is 88824341. The reversal of 88824320 is 2342888.

It can be written as a sum of positive squares in 8 ways, for example, as 25080064 + 63744256 = 5008^2 + 7984^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565682 + ... + 565838.

Almost surely, 2^88824320 is an apocalyptic number.

88824320 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 88824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122195304).

88824320 is an abundant number, since it is smaller than the sum of its proper divisors (155566288).

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

88824320 is a wasteful number, since it uses less digits than its factorization.

88824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 88824320 is about 9424.6655113060. The cubic root of 88824320 is about 446.1805458579.

The spelling of 88824320 in words is "eighty-eight million, eight hundred twenty-four thousand, three hundred twenty".