542166000 has 160 divisors (see below), whose sum is σ = 1766107200. Its totient is φ = 143078400.

The previous prime is 542165999. The next prime is 542166013. The reversal of 542166000 is 661245.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 653586 + ... + 654414.

It is an arithmetic number, because the mean of its divisors is an integer number (11038170).

Almost surely, 2^542166000 is an apocalyptic number.

542166000 is a gapful number since it is divisible by the number (50) 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 542166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883053600).

542166000 is an abundant number, since it is smaller than the sum of its proper divisors (1223941200).

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

542166000 is a wasteful number, since it uses less digits than its factorization.

542166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 542166000 is about 23284.4583359802. The cubic root of 542166000 is about 815.4126155367.

The spelling of 542166000 in words is "five hundred forty-two million, one hundred sixty-six thousand".