54759744 has 168 divisors, whose sum is σ = 173077632. Its totient is φ = 16450560.

The previous prime is 54759739. The next prime is 54759751. The reversal of 54759744 is 44795745.

54759744 is a `hidden beast` number, since 54 + 7 + 597 + 4 + 4 = 666.

Its product of digits (705600) is a multiple of the sum of its prime divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 54759744.

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, 531597 + ... + 531699.

It is an arithmetic number, because the mean of its divisors is an integer number (1030224).

Almost surely, 2^54759744 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 54759744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86538816).

54759744 is an abundant number, since it is smaller than the sum of its proper divisors (118317888).

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

54759744 is a wasteful number, since it uses less digits than its factorization.

54759744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 54759744 is about 7399.9827026825. The cubic root of 54759744 is about 379.7406910493.

The spelling of 54759744 in words is "fifty-four million, seven hundred fifty-nine thousand, seven hundred forty-four".