88405920 has 216 divisors, whose sum is σ = 316726956. Its totient is φ = 22450176.

The previous prime is 88405909. The next prime is 88405927. The reversal of 88405920 is 2950488.

It can be written as a sum of positive squares in 6 ways, for example, as 43086096 + 45319824 = 6564^2 + 6732^2 .

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 (88405927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1211004 + ... + 1211076.

Almost surely, 2^88405920 is an apocalyptic number.

88405920 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 88405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158363478).

88405920 is an abundant number, since it is smaller than the sum of its proper divisors (228321036).

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

88405920 is a wasteful number, since it uses less digits than its factorization.

88405920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 88405920 is about 9402.4422359300. The cubic root of 88405920 is about 445.4788768152.

The spelling of 88405920 in words is "eighty-eight million, four hundred five thousand, nine hundred twenty".