63084960 has 192 divisors, whose sum is σ = 234057600. Its totient is φ = 15814656.

The previous prime is 63084911. The next prime is 63084971. The reversal of 63084960 is 6948036.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73011 + ... + 73869.

It is an arithmetic number, because the mean of its divisors is an integer number (1219050).

Almost surely, 2^63084960 is an apocalyptic number.

63084960 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 63084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117028800).

63084960 is an abundant number, since it is smaller than the sum of its proper divisors (170972640).

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

63084960 is a wasteful number, since it uses less digits than its factorization.

63084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 63084960 is about 7942.6041069664. The cubic root of 63084960 is about 398.0845085398.

The spelling of 63084960 in words is "sixty-three million, eighty-four thousand, nine hundred sixty".