58536800 has 72 divisors (see below), whose sum is σ = 163333296. Its totient is φ = 20067840.

The previous prime is 58536781. The next prime is 58536827. The reversal of 58536800 is 863585.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374 + ... + 10826.

It is an arithmetic number, because the mean of its divisors is an integer number (2268518).

Almost surely, 2^58536800 is an apocalyptic number.

58536800 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 58536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81666648).

58536800 is an abundant number, since it is smaller than the sum of its proper divisors (104796496).

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

58536800 is a wasteful number, since it uses less digits than its factorization.

58536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10480 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 58536800 is about 7650.9345834349. The cubic root of 58536800 is about 388.2781864420.

The spelling of 58536800 in words is "fifty-eight million, five hundred thirty-six thousand, eight hundred".