54210816 has 288 divisors, whose sum is σ = 188375040. Its totient is φ = 15206400.

The previous prime is 54210803. The next prime is 54210829. The reversal of 54210816 is 61801245.

54210816 is a `hidden beast` number, since 542 + 108 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (54210803) and next prime (54210829).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 54210816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1748721 + ... + 1748751.

It is an arithmetic number, because the mean of its divisors is an integer number (654080).

Almost surely, 2^54210816 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 54210816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94187520).

54210816 is an abundant number, since it is smaller than the sum of its proper divisors (134164224).

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

54210816 is a wasteful number, since it uses less digits than its factorization.

54210816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 54210816 is about 7362.7994675938. The cubic root of 54210816 is about 378.4675494401.

The spelling of 54210816 in words is "fifty-four million, two hundred ten thousand, eight hundred sixteen".