542832624 has 80 divisors (see below), whose sum is σ = 1600289440. Its totient is φ = 176048640.

The previous prime is 542832613. The next prime is 542832649. The reversal of 542832624 is 426238245.

542832624 is a `hidden beast` number, since 5 + 4 + 28 + 3 + 2 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997 + ... + 32964.

It is an arithmetic number, because the mean of its divisors is an integer number (20003618).

Almost surely, 2^542832624 is an apocalyptic number.

542832624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542832624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800144720).

542832624 is an abundant number, since it is smaller than the sum of its proper divisors (1057456816).

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

542832624 is a wasteful number, since it uses less digits than its factorization.

542832624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34015 (or 34003 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 542832624 is about 23298.7687228317. The cubic root of 542832624 is about 815.7466774209.

The spelling of 542832624 in words is "five hundred forty-two million, eight hundred thirty-two thousand, six hundred twenty-four".