88815744 has 128 divisors (see below), whose sum is σ = 270912000. Its totient is φ = 28615680.

The previous prime is 88815743. The next prime is 88815763. The reversal of 88815744 is 44751888.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 88815744.

It is not an unprimeable number, because it can be changed into a prime (88815743) 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, 106722 + ... + 107550.

It is an arithmetic number, because the mean of its divisors is an integer number (2116500).

Almost surely, 2^88815744 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 88815744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135456000).

88815744 is an abundant number, since it is smaller than the sum of its proper divisors (182096256).

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

88815744 is a wasteful number, since it uses less digits than its factorization.

88815744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 865 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 88815744 is about 9424.2105239643. The cubic root of 88815744 is about 446.1661857985.

The spelling of 88815744 in words is "eighty-eight million, eight hundred fifteen thousand, seven hundred forty-four".