54305820 has 72 divisors (see below), whose sum is σ = 174427344. Its totient is φ = 13628928.

The previous prime is 54305807. The next prime is 54305833. The reversal of 54305820 is 2850345.

54305820 is a `hidden beast` number, since 54 + 30 + 582 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54305807) and next prime (54305833).

It is a congruent number.

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, 5814 + ... + 11933.

It is an arithmetic number, because the mean of its divisors is an integer number (2422602).

Almost surely, 2^54305820 is an apocalyptic number.

It is an amenable number.

54305820 is an abundant number, since it is smaller than the sum of its proper divisors (120121524).

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

54305820 is a wasteful number, since it uses less digits than its factorization.

54305820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17779 (or 17774 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 54305820 is about 7369.2482655967. The cubic root of 54305820 is about 378.6885074824.

The spelling of 54305820 in words is "fifty-four million, three hundred five thousand, eight hundred twenty".