54295840 has 48 divisors (see below), whose sum is σ = 129262392. Its totient is φ = 21551104.

The previous prime is 54295811. The next prime is 54295853. The reversal of 54295840 is 4859245.

54295840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45319824 + 8976016 = 6732^2 + 2996^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54295840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20682 + ... + 23158.

Almost surely, 2^54295840 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 54295840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64631196).

54295840 is an abundant number, since it is smaller than the sum of its proper divisors (74966552).

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

54295840 is a wasteful number, since it uses less digits than its factorization.

54295840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 54295840 is about 7368.5710962167. The cubic root of 54295840 is about 378.6653083555.

The spelling of 54295840 in words is "fifty-four million, two hundred ninety-five thousand, eight hundred forty".