54874368 has 144 divisors (see below), whose sum is σ = 172186560. Its totient is φ = 17178624.

The previous prime is 54874361. The next prime is 54874381. The reversal of 54874368 is 86347845.

54874368 is a `hidden beast` number, since 548 + 7 + 43 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×54874368² = 6022392526798848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54874361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117271 + ... + 117737.

It is an arithmetic number, because the mean of its divisors is an integer number (1195740).

Almost surely, 2^54874368 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 54874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86093280).

54874368 is an abundant number, since it is smaller than the sum of its proper divisors (117312192).

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

54874368 is a wasteful number, since it uses less digits than its factorization.

54874368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 489 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 54874368 is about 7407.7235369579. The cubic root of 54874368 is about 380.0054662187.

The spelling of 54874368 in words is "fifty-four million, eight hundred seventy-four thousand, three hundred sixty-eight".