63256320 has 324 divisors, whose sum is σ = 244728120. Its totient is φ = 15040512.

The previous prime is 63256309. The next prime is 63256321. The reversal of 63256320 is 2365236.

63256320 is a `hidden beast` number, since 6 + 3 + 25 + 632 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63256321) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3329271 + ... + 3329289.

Almost surely, 2^63256320 is an apocalyptic number.

63256320 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 63256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122364060).

63256320 is an abundant number, since it is smaller than the sum of its proper divisors (181471800).

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

63256320 is a wasteful number, since it uses less digits than its factorization.

63256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 63256320 is about 7953.3841853641. The cubic root of 63256320 is about 398.4446265392. Note that the first 3 decimals are identical.

The spelling of 63256320 in words is "sixty-three million, two hundred fifty-six thousand, three hundred twenty".