63122880 has 112 divisors (see below), whose sum is σ = 204825600. Its totient is φ = 16462848.

The previous prime is 63122869. The next prime is 63122923. The reversal of 63122880 is 8822136.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44421 + ... + 45819.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2^63122880 is an apocalyptic number.

63122880 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 63122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

63122880 is an abundant number, since it is smaller than the sum of its proper divisors (141702720).

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

63122880 is a wasteful number, since it uses less digits than its factorization.

63122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 63122880 is about 7944.9908747588. The cubic root of 63122880 is about 398.1642546525.

The spelling of 63122880 in words is "sixty-three million, one hundred twenty-two thousand, eight hundred eighty".