54686632 has 64 divisors (see below), whose sum is σ = 137692800. Its totient is φ = 19664640.

The previous prime is 54686627. The next prime is 54686641. The reversal of 54686632 is 23668645.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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, 4594 + ... + 11422.

It is an arithmetic number, because the mean of its divisors is an integer number (2151450).

Almost surely, 2^54686632 is an apocalyptic number.

54686632 is a gapful number since it is divisible by the number (52) 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 54686632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68846400).

54686632 is an abundant number, since it is smaller than the sum of its proper divisors (83006168).

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

54686632 is a wasteful number, since it uses less digits than its factorization.

54686632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6866 (or 6862 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 54686632 is about 7395.0410411302. The cubic root of 54686632 is about 379.5716132763.

It can be divided in two parts, 5468 and 6632, that added together give a square (12100 = 110²).

The spelling of 54686632 in words is "fifty-four million, six hundred eighty-six thousand, six hundred thirty-two".