60085800 has 120 divisors (see below), whose sum is σ = 208743150. Its totient is φ = 16018560.

The previous prime is 60085783. The next prime is 60085813. The reversal of 60085800 is 858006.

60085800 is a `hidden beast` number, since 600 + 8 + 58 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 37675044 + 22410756 = 6138^2 + 4734^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×60085800² = 7220606723280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14346 + ... + 18054.

Almost surely, 2^60085800 is an apocalyptic number.

60085800 is a gapful number since it is divisible by the number (60) 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 60085800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104371575).

60085800 is an abundant number, since it is smaller than the sum of its proper divisors (148657350).

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

60085800 is a wasteful number, since it uses less digits than its factorization.

60085800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 60085800 is about 7751.5030800484. The cubic root of 60085800 is about 391.6732839282.

The spelling of 60085800 in words is "sixty million, eighty-five thousand, eight hundred".