63904032 has 96 divisors (see below), whose sum is σ = 191520000. Its totient is φ = 20715264.

The previous prime is 63904019. The next prime is 63904033. The reversal of 63904032 is 23040936.

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

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 = 63903987 and 63904005.

It is not an unprimeable number, because it can be changed into a prime (63904033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30969 + ... + 32967.

It is an arithmetic number, because the mean of its divisors is an integer number (1995000).

Almost surely, 2^63904032 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 63904032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760000).

63904032 is an abundant number, since it is smaller than the sum of its proper divisors (127615968).

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

63904032 is a wasteful number, since it uses less digits than its factorization.

63904032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 63904032 is about 7993.9997498124. Note that the first 3 decimals coincide. The cubic root of 63904032 is about 399.7999666500.

Adding to 63904032 its reverse (23040936), we get a palindrome (86944968).

The spelling of 63904032 in words is "sixty-three million, nine hundred four thousand, thirty-two".