88475520 has 256 divisors, whose sum is σ = 334886400. Its totient is φ = 19439616.

The previous prime is 88475509. The next prime is 88475521. The reversal of 88475520 is 2557488.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88475521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389647 + ... + 389873.

It is an arithmetic number, because the mean of its divisors is an integer number (1308150).

Almost surely, 2^88475520 is an apocalyptic number.

88475520 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 88475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

88475520 is an abundant number, since it is smaller than the sum of its proper divisors (246410880).

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

88475520 is a wasteful number, since it uses less digits than its factorization.

88475520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 88475520 is about 9406.1426738063. The cubic root of 88475520 is about 445.5957513291.

The spelling of 88475520 in words is "eighty-eight million, four hundred seventy-five thousand, five hundred twenty".