58195800 has 192 divisors, whose sum is σ = 216132000. Its totient is φ = 14307840.

The previous prime is 58195793. The next prime is 58195801. The reversal of 58195800 is 859185.

It is a super-2 number, since 2×58195800² = 6773502275280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58195801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69786 + ... + 70614.

Almost surely, 2^58195800 is an apocalyptic number.

58195800 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 58195800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108066000).

58195800 is an abundant number, since it is smaller than the sum of its proper divisors (157936200).

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

58195800 is a wasteful number, since it uses less digits than its factorization.

58195800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 58195800 is about 7628.6171748227. The cubic root of 58195800 is about 387.5227596760.

The spelling of 58195800 in words is "fifty-eight million, one hundred ninety-five thousand, eight hundred".