63313920 has 192 divisors, whose sum is σ = 226044000. Its totient is φ = 16809984.

The previous prime is 63313907. The next prime is 63313949. The reversal of 63313920 is 2931336.

63313920 is a `hidden beast` number, since 633 + 1 + 3 + 9 + 20 = 666.

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

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

It is a zygodrome in base 2.

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, 276366 + ... + 276594.

Almost surely, 2^63313920 is an apocalyptic number.

63313920 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 63313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113022000).

63313920 is an abundant number, since it is smaller than the sum of its proper divisors (162730080).

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

63313920 is a wasteful number, since it uses less digits than its factorization.

63313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 63313920 is about 7957.0044614792. The cubic root of 63313920 is about 398.5655285452.

The spelling of 63313920 in words is "sixty-three million, three hundred thirteen thousand, nine hundred twenty".