58806400 has 192 divisors, whose sum is σ = 163918080. Its totient is φ = 20725760.

The previous prime is 58806373. The next prime is 58806401. The reversal of 58806400 is 460885.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (58806401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1251177 + ... + 1251223.

It is an arithmetic number, because the mean of its divisors is an integer number (853740).

Almost surely, 2^58806400 is an apocalyptic number.

58806400 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 58806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81959040).

58806400 is an abundant number, since it is smaller than the sum of its proper divisors (105111680).

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

58806400 is a wasteful number, since it uses less digits than its factorization.

58806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 58806400 is about 7668.5331061423. The cubic root of 58806400 is about 388.8733647620.

The spelling of 58806400 in words is "fifty-eight million, eight hundred six thousand, four hundred".