54592640 has 64 divisors (see below), whose sum is σ = 131475960. Its totient is φ = 21676032.

The previous prime is 54592633. The next prime is 54592687. The reversal of 54592640 is 4629545.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47665216 + 6927424 = 6904^2 + 2632^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 54592640.

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, 125864 + ... + 126296.

Almost surely, 2^54592640 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 54592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65737980).

54592640 is an abundant number, since it is smaller than the sum of its proper divisors (76883320).

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

54592640 is a wasteful number, since it uses less digits than its factorization.

54592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 54592640 is about 7388.6832385751. The cubic root of 54592640 is about 379.3540271683.

The spelling of 54592640 in words is "fifty-four million, five hundred ninety-two thousand, six hundred forty".