88915968 has 150 divisors (see below), whose sum is σ = 269606876. Its totient is φ = 29196288.

The previous prime is 88915961. The next prime is 88915993. The reversal of 88915968 is 86951988.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1244160) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (88915961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1327071 + ... + 1327137.

Almost surely, 2^88915968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134803438).

88915968 is an abundant number, since it is smaller than the sum of its proper divisors (180690908).

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

88915968 is an frugal number, since it uses more digits than its factorization.

88915968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The square root of 88915968 is about 9429.5263931971. The cubic root of 88915968 is about 446.3339479100. Note that the first 3 decimals are identical.

The spelling of 88915968 in words is "eighty-eight million, nine hundred fifteen thousand, nine hundred sixty-eight".