54337680 has 120 divisors (see below), whose sum is σ = 184000128. Its totient is φ = 14370048.

The previous prime is 54337651. The next prime is 54337691. The reversal of 54337680 is 8673345.

It is a happy number.

54337680 is a `hidden beast` number, since 543 + 37 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 117129 + ... + 117591.

Almost surely, 2^54337680 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 54337680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92000064).

54337680 is an abundant number, since it is smaller than the sum of its proper divisors (129662448).

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

54337680 is a wasteful number, since it uses less digits than its factorization.

54337680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 54337680 is about 7371.4096345272. The cubic root of 54337680 is about 378.7625490075.

The spelling of 54337680 in words is "fifty-four million, three hundred thirty-seven thousand, six hundred eighty".