88401920 has 96 divisors (see below), whose sum is σ = 216707400. Its totient is φ = 34603008.

The previous prime is 88401919. The next prime is 88401931. The reversal of 88401920 is 2910488.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 55591936 + 32809984 = 7456^2 + 5728^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 911312 + ... + 911408.

Almost surely, 2^88401920 is an apocalyptic number.

88401920 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 88401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108353700).

88401920 is an abundant number, since it is smaller than the sum of its proper divisors (128305480).

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

88401920 is an equidigital number, since it uses as much as digits as its factorization.

88401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 88401920 is about 9402.2295228313. The cubic root of 88401920 is about 445.4721580254.

The spelling of 88401920 in words is "eighty-eight million, four hundred one thousand, nine hundred twenty".