542609088 has 224 divisors, whose sum is σ = 1727362560. Its totient is φ = 147087360.

The previous prime is 542609021. The next prime is 542609099. The reversal of 542609088 is 880906245.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2369358 + ... + 2369586.

It is an arithmetic number, because the mean of its divisors is an integer number (7711440).

Almost surely, 2^542609088 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 542609088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863681280).

542609088 is an abundant number, since it is smaller than the sum of its proper divisors (1184753472).

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

542609088 is a wasteful number, since it uses less digits than its factorization.

542609088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 542609088 is about 23293.9710654925. The cubic root of 542609088 is about 815.6346884597.

The spelling of 542609088 in words is "five hundred forty-two million, six hundred nine thousand, eighty-eight".