54084240 has 320 divisors, whose sum is σ = 220224000. Its totient is φ = 12192768.

The previous prime is 54084229. The next prime is 54084271. The reversal of 54084240 is 4248045.

54084240 is a `hidden beast` number, since 540 + 84 + 2 + 40 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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, 740844 + ... + 740916.

It is an arithmetic number, because the mean of its divisors is an integer number (688200).

Almost surely, 2^54084240 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 54084240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110112000).

54084240 is an abundant number, since it is smaller than the sum of its proper divisors (166139760).

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

54084240 is a wasteful number, since it uses less digits than its factorization.

54084240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 54084240 is about 7354.1988006852. The cubic root of 54084240 is about 378.1727605359.

The spelling of 54084240 in words is "fifty-four million, eighty-four thousand, two hundred forty".