88395520 has 72 divisors (see below), whose sum is σ = 215895456. Its totient is φ = 34664448.

The previous prime is 88395499. The next prime is 88395533. The reversal of 88395520 is 2559388.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 67189 + ... + 68491.

It is an arithmetic number, because the mean of its divisors is an integer number (2998548).

Almost surely, 2^88395520 is an apocalyptic number.

88395520 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 88395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107947728).

88395520 is an abundant number, since it is smaller than the sum of its proper divisors (127499936).

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

88395520 is a wasteful number, since it uses less digits than its factorization.

88395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 88395520 is about 9401.8891718633. The cubic root of 88395520 is about 445.4614075401.

The spelling of 88395520 in words is "eighty-eight million, three hundred ninety-five thousand, five hundred twenty".