63952000 has 128 divisors (see below), whose sum is σ = 182033280. Its totient is φ = 21888000.

The previous prime is 63951991. The next prime is 63952013. The reversal of 63952000 is 25936.

63952000 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 111715 + ... + 112285.

It is an arithmetic number, because the mean of its divisors is an integer number (1422135).

Almost surely, 2^63952000 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 63952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91016640).

63952000 is an abundant number, since it is smaller than the sum of its proper divisors (118081280).

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

63952000 is an equidigital number, since it uses as much as digits as its factorization.

63952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 63952000 is about 7996.9994372890. Note that the first 3 decimals coincide. The cubic root of 63952000 is about 399.8999749896.

Adding to 63952000 its reverse (25936), we get a palindrome (63977936).

The spelling of 63952000 in words is "sixty-three million, nine hundred fifty-two thousand".