88683144 has 64 divisors (see below), whose sum is σ = 242922240. Its totient is φ = 26756160.

The previous prime is 88683097. The next prime is 88683167. The reversal of 88683144 is 44138688.

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

It is a junction number, because it is equal to n+sod(n) for n = 88683096 and 88683105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74119 + ... + 75305.

It is an arithmetic number, because the mean of its divisors is an integer number (3795660).

Almost surely, 2^88683144 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 88683144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121461120).

88683144 is an abundant number, since it is smaller than the sum of its proper divisors (154239096).

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

88683144 is a wasteful number, since it uses less digits than its factorization.

88683144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1486 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 88683144 is about 9417.1728241548. The cubic root of 88683144 is about 445.9440363598.

The spelling of 88683144 in words is "eighty-eight million, six hundred eighty-three thousand, one hundred forty-four".