58742800 has 30 divisors (see below), whose sum is σ = 141130538. Its totient is φ = 23496960.

The previous prime is 58742771. The next prime is 58742867. The reversal of 58742800 is 824785.

It can be written as a sum of positive squares in 3 ways, for example, as 8503056 + 50239744 = 2916^2 + 7088^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73029 + ... + 73828.

Almost surely, 2^58742800 is an apocalyptic number.

58742800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58742800 is an abundant number, since it is smaller than the sum of its proper divisors (82387738).

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

58742800 is a wasteful number, since it uses less digits than its factorization.

58742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146875 (or 146864 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 58742800 is about 7664.3851677744. The cubic root of 58742800 is about 388.7331234079.

The spelling of 58742800 in words is "fifty-eight million, seven hundred forty-two thousand, eight hundred".