54602856 has 256 divisors, whose sum is σ = 195840000. Its totient is φ = 13970880.

The previous prime is 54602831. The next prime is 54602893. The reversal of 54602856 is 65820645.

54602856 = T₃₈₄ + T₃₈₅ + ... + T₇₂₆.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54602856.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 814935 + ... + 815001.

It is an arithmetic number, because the mean of its divisors is an integer number (765000).

Almost surely, 2^54602856 is an apocalyptic number.

54602856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54602856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97920000).

54602856 is an abundant number, since it is smaller than the sum of its proper divisors (141237144).

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

54602856 is a wasteful number, since it uses less digits than its factorization.

54602856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 54602856 is about 7389.3745337478. The cubic root of 54602856 is about 379.3776887158.

The spelling of 54602856 in words is "fifty-four million, six hundred two thousand, eight hundred fifty-six".