54008592 has 120 divisors (see below), whose sum is σ = 162677088. Its totient is φ = 15375360.

The previous prime is 54008579. The next prime is 54008597. The reversal of 54008592 is 29580045.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54008597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98463 + ... + 99009.

Almost surely, 2^54008592 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 54008592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81338544).

54008592 is an abundant number, since it is smaller than the sum of its proper divisors (108668496).

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

54008592 is a wasteful number, since it uses less digits than its factorization.

54008592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 54008592 is about 7349.0538166488. The cubic root of 54008592 is about 377.9963606492.

The spelling of 54008592 in words is "fifty-four million, eight thousand, five hundred ninety-two".