63256032 has 96 divisors (see below), whose sum is σ = 210873600. Its totient is φ = 18071424.

The previous prime is 63256019. The next prime is 63256057. The reversal of 63256032 is 23065236.

63256032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×63256032³ (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 63255987 and 63256005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819 + ... + 11277.

It is an arithmetic number, because the mean of its divisors is an integer number (2196600).

Almost surely, 2^63256032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63256032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105436800).

63256032 is an abundant number, since it is smaller than the sum of its proper divisors (147617568).

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

63256032 is a wasteful number, since it uses less digits than its factorization.

63256032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10485 (or 10471 counting only the distinct ones).

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

The square root of 63256032 is about 7953.3660798432. The cubic root of 63256032 is about 398.4440218448. Note that the first 3 decimals are identical.

The spelling of 63256032 in words is "sixty-three million, two hundred fifty-six thousand, thirty-two".