542592 has 64 divisors (see below), whose sum is σ = 1611600. Its totient is φ = 179712.

The previous prime is 542587. The next prime is 542599. The reversal of 542592 is 295245.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an Ulam number.

Its product of digits (3600) is a multiple of the sum of its prime factors (180).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542599) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3378 + ... + 3534.

2⁵⁴²⁵⁹² 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 542592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805800).

542592 is an abundant number, since it is smaller than the sum of its proper divisors (1069008).

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

542592 is a wasteful number, since it uses less digits than its factorization.

542592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 542592 is about 736.6084441547. The cubic root of 542592 is about 81.5626126303.

The spelling of 542592 in words is "five hundred forty-two thousand, five hundred ninety-two".