68131584 has 72 divisors (see below), whose sum is σ = 201497520. Its totient is φ = 22708224.

The previous prime is 68131579. The next prime is 68131601. The reversal of 68131584 is 48513186.

68131584 is a `hidden beast` number, since 68 + 13 + 1 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1984 + ... + 11840.

Almost surely, 2^68131584 is an apocalyptic number.

68131584 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68131584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100748760).

68131584 is an abundant number, since it is smaller than the sum of its proper divisors (133365936).

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

68131584 is an equidigital number, since it uses as much as digits as its factorization.

68131584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9882 (or 9862 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 68131584 is about 8254.1858471929. The cubic root of 68131584 is about 408.4286153140.

The spelling of 68131584 in words is "sixty-eight million, one hundred thirty-one thousand, five hundred eighty-four".