54937008 has 160 divisors (see below), whose sum is σ = 185464320. Its totient is φ = 15240960.

The previous prime is 54936997. The next prime is 54937019. The reversal of 54937008 is 80073945.

It is an interprime number because it is at equal distance from previous prime (54936997) and next prime (54937019).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111643 + ... + 112133.

It is an arithmetic number, because the mean of its divisors is an integer number (1159152).

Almost surely, 2^54937008 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 54937008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92732160).

54937008 is an abundant number, since it is smaller than the sum of its proper divisors (130527312).

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

54937008 is a wasteful number, since it uses less digits than its factorization.

54937008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 54937008 is about 7411.9503506162. The cubic root of 54937008 is about 380.1500054127.

The spelling of 54937008 in words is "fifty-four million, nine hundred thirty-seven thousand, eight".