542123064 has 384 divisors, whose sum is σ = 1950220800. Its totient is φ = 138378240.

The previous prime is 542123053. The next prime is 542123089. The reversal of 542123064 is 460321245.

542123064 is a `hidden beast` number, since 5 + 421 + 230 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4138279 + ... + 4138409.

It is an arithmetic number, because the mean of its divisors is an integer number (5078700).

Almost surely, 2^542123064 is an apocalyptic number.

542123064 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 542123064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975110400).

542123064 is an abundant number, since it is smaller than the sum of its proper divisors (1408097736).

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

542123064 is a wasteful number, since it uses less digits than its factorization.

542123064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 542123064 is about 23283.5363293465. The cubic root of 542123064 is about 815.3910898537.

The spelling of 542123064 in words is "five hundred forty-two million, one hundred twenty-three thousand, sixty-four".