54615008 has 72 divisors (see below), whose sum is σ = 127351224. Its totient is φ = 22982400.

The previous prime is 54615007. The next prime is 54615049. The reversal of 54615008 is 80051645.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54615007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95363 + ... + 95933.

It is an arithmetic number, because the mean of its divisors is an integer number (1768767).

Almost surely, 2^54615008 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 54615008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63675612).

54615008 is an abundant number, since it is smaller than the sum of its proper divisors (72736216).

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

54615008 is a wasteful number, since it uses less digits than its factorization.

54615008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 54615008 is about 7390.1967497490. The cubic root of 54615008 is about 379.4058304410.

The spelling of 54615008 in words is "fifty-four million, six hundred fifteen thousand, eight".