88945920 has 216 divisors, whose sum is σ = 352025856. Its totient is φ = 20312064.

The previous prime is 88945919. The next prime is 88945931. The reversal of 88945920 is 2954988.

It is a super-2 number, since 2×88945920² = 15822753369292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80089 + ... + 81191.

Almost surely, 2^88945920 is an apocalyptic number.

88945920 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 88945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176012928).

88945920 is an abundant number, since it is smaller than the sum of its proper divisors (263079936).

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

88945920 is a wasteful number, since it uses less digits than its factorization.

88945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 88945920 is about 9431.1144622468. The cubic root of 88945920 is about 446.3840592450.

The spelling of 88945920 in words is "eighty-eight million, nine hundred forty-five thousand, nine hundred twenty".