60064200 has 288 divisors, whose sum is σ = 241725600. Its totient is φ = 13668480.

The previous prime is 60064171. The next prime is 60064217. The reversal of 60064200 is 246006.

60064200 is a `hidden beast` number, since 600 + 64 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 264487 + ... + 264713.

It is an arithmetic number, because the mean of its divisors is an integer number (839325).

Almost surely, 2^60064200 is an apocalyptic number.

60064200 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 60064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120862800).

60064200 is an abundant number, since it is smaller than the sum of its proper divisors (181661400).

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

60064200 is a wasteful number, since it uses less digits than its factorization.

60064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 60064200 is about 7750.1096766433. The cubic root of 60064200 is about 391.6263446242.

The spelling of 60064200 in words is "sixty million, sixty-four thousand, two hundred".