88971520 has 144 divisors (see below), whose sum is σ = 238412160. Its totient is φ = 31539200.

The previous prime is 88971497. The next prime is 88971529. The reversal of 88971520 is 2517988.

It is a super-2 number, since 2×88971520² = 15831862742220800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (88971529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999636 + ... + 999724.

It is an arithmetic number, because the mean of its divisors is an integer number (1655640).

Almost surely, 2^88971520 is an apocalyptic number.

88971520 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 88971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119206080).

88971520 is an abundant number, since it is smaller than the sum of its proper divisors (149440640).

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

88971520 is a wasteful number, since it uses less digits than its factorization.

88971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 88971520 is about 9432.4715743012. The cubic root of 88971520 is about 446.4268805300.

The spelling of 88971520 in words is "eighty-eight million, nine hundred seventy-one thousand, five hundred twenty".