63890976 has 48 divisors (see below), whose sum is σ = 168727104. Its totient is φ = 21168384.

The previous prime is 63890963. The next prime is 63891017. The reversal of 63890976 is 67909836.

It is a happy number.

63890976 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 14685 + ... + 18531.

It is an arithmetic number, because the mean of its divisors is an integer number (3515148).

Almost surely, 2^63890976 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 63890976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84363552).

63890976 is an abundant number, since it is smaller than the sum of its proper divisors (104836128).

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

63890976 is a wasteful number, since it uses less digits than its factorization.

63890976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 63890976 is about 7993.1830956134. The cubic root of 63890976 is about 399.7727375706.

The spelling of 63890976 in words is "sixty-three million, eight hundred ninety thousand, nine hundred seventy-six".