60058800 has 240 divisors, whose sum is σ = 219569280. Its totient is φ = 15586560.

The previous prime is 60058793. The next prime is 60058813. The reversal of 60058800 is 885006.

60058800 is a `hidden beast` number, since 600 + 58 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 723559 + ... + 723641.

It is an arithmetic number, because the mean of its divisors is an integer number (914872).

Almost surely, 2^60058800 is an apocalyptic number.

60058800 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 60058800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109784640).

60058800 is an abundant number, since it is smaller than the sum of its proper divisors (159510480).

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

60058800 is a wasteful number, since it uses less digits than its factorization.

60058800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

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

The square root of 60058800 is about 7749.7612866462. The cubic root of 60058800 is about 391.6146080399.

The spelling of 60058800 in words is "sixty million, fifty-eight thousand, eight hundred".