60082560 has 320 divisors, whose sum is σ = 229561200. Its totient is φ = 14929920.

The previous prime is 60082559. The next prime is 60082609. The reversal of 60082560 is 6528006.

60082560 is a `hidden beast` number, since 600 + 8 + 2 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 984930 + ... + 984990.

Almost surely, 2^60082560 is an apocalyptic number.

60082560 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 60082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114780600).

60082560 is an abundant number, since it is smaller than the sum of its proper divisors (169478640).

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

60082560 is a wasteful number, since it uses less digits than its factorization.

60082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 60082560 is about 7751.2940855060. The cubic root of 60082560 is about 391.6662437499. Note that the first 3 decimals are identical.

The spelling of 60082560 in words is "sixty million, eighty-two thousand, five hundred sixty".