60312960 has 192 divisors, whose sum is σ = 214652880. Its totient is φ = 15593472.

The previous prime is 60312943. The next prime is 60312971. The reversal of 60312960 is 6921306.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212979 + ... + 213261.

Almost surely, 2^60312960 is an apocalyptic number.

60312960 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 60312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107326440).

60312960 is an abundant number, since it is smaller than the sum of its proper divisors (154339920).

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

60312960 is a wasteful number, since it uses less digits than its factorization.

60312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 60312960 is about 7766.1418992959. The cubic root of 60312960 is about 392.1662490721.

The spelling of 60312960 in words is "sixty million, three hundred twelve thousand, nine hundred sixty".