88531664 has 60 divisors (see below), whose sum is σ = 192314700. Its totient is φ = 39416832.

The previous prime is 88531649. The next prime is 88531687. The reversal of 88531664 is 46613588.

It can be written as a sum of positive squares in 6 ways, for example, as 30162064 + 58369600 = 5492^2 + 7640^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77852 + ... + 78980.

It is an arithmetic number, because the mean of its divisors is an integer number (3205245).

Almost surely, 2^88531664 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 88531664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96157350).

88531664 is an abundant number, since it is smaller than the sum of its proper divisors (103783036).

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

88531664 is a wasteful number, since it uses less digits than its factorization.

88531664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1173 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 88531664 is about 9409.1266332216. The cubic root of 88531664 is about 445.6899854477.

The spelling of 88531664 in words is "eighty-eight million, five hundred thirty-one thousand, six hundred sixty-four".