63120960 has 336 divisors, whose sum is σ = 258665472. Its totient is φ = 13824000.

The previous prime is 63120923. The next prime is 63120961. The reversal of 63120960 is 6902136.

It is a happy number.

63120960 is a `hidden beast` number, since 631 + 20 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63120961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624910 + ... + 625010.

Almost surely, 2^63120960 is an apocalyptic number.

63120960 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 63120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129332736).

63120960 is an abundant number, since it is smaller than the sum of its proper divisors (195544512).

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

63120960 is a wasteful number, since it uses less digits than its factorization.

63120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

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

The square root of 63120960 is about 7944.8700429900. The cubic root of 63120960 is about 398.1602176424.

The spelling of 63120960 in words is "sixty-three million, one hundred twenty thousand, nine hundred sixty".