542826960 has 160 divisors (see below), whose sum is σ = 1907794560. Its totient is φ = 126572544.

The previous prime is 542826953. The next prime is 542826961. The reversal of 542826960 is 69628245.

It is a super-2 number, since 2×542826960² = 589322217005683200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542826961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54702 + ... + 63858.

It is an arithmetic number, because the mean of its divisors is an integer number (11923716).

Almost surely, 2^542826960 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 542826960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953897280).

542826960 is an abundant number, since it is smaller than the sum of its proper divisors (1364967600).

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

542826960 is a wasteful number, since it uses less digits than its factorization.

542826960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9205 (or 9199 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 542826960 is about 23298.6471710269. The cubic root of 542826960 is about 815.7438402019.

The spelling of 542826960 in words is "five hundred forty-two million, eight hundred twenty-six thousand, nine hundred sixty".