88291944 has 160 divisors (see below), whose sum is σ = 273208320. Its totient is φ = 26469504.

The previous prime is 88291939. The next prime is 88291961. The reversal of 88291944 is 44919288.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (165888) is a multiple of the sum of its prime divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 88291944.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 395817 + ... + 396039.

It is an arithmetic number, because the mean of its divisors is an integer number (1707552).

Almost surely, 2^88291944 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 88291944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136604160).

88291944 is an abundant number, since it is smaller than the sum of its proper divisors (184916376).

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

88291944 is a wasteful number, since it uses less digits than its factorization.

88291944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 88291944 is about 9396.3793026889. The cubic root of 88291944 is about 445.2873521754.

The spelling of 88291944 in words is "eighty-eight million, two hundred ninety-one thousand, nine hundred forty-four".