88813920 has 192 divisors, whose sum is σ = 309222144. Its totient is φ = 21288960.

The previous prime is 88813903. The next prime is 88813931. The reversal of 88813920 is 2931888.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268155 + ... + 268485.

It is an arithmetic number, because the mean of its divisors is an integer number (1610532).

Almost surely, 2^88813920 is an apocalyptic number.

88813920 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 88813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154611072).

88813920 is an abundant number, since it is smaller than the sum of its proper divisors (220408224).

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

88813920 is a wasteful number, since it uses less digits than its factorization.

88813920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 88813920 is about 9424.1137514357. The cubic root of 88813920 is about 446.1631314876.

The spelling of 88813920 in words is "eighty-eight million, eight hundred thirteen thousand, nine hundred twenty".