63983520 has 120 divisors (see below), whose sum is σ = 225854244. Its totient is φ = 17058816.

The previous prime is 63983519. The next prime is 63983603. The reversal of 63983520 is 2538936.

It can be written as a sum of positive squares in 2 ways, for example, as 63297936 + 685584 = 7956^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10492 + ... + 15428.

Almost surely, 2^63983520 is an apocalyptic number.

63983520 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 63983520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112927122).

63983520 is an abundant number, since it is smaller than the sum of its proper divisors (161870724).

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

63983520 is a wasteful number, since it uses less digits than its factorization.

63983520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 63983520 is about 7998.9699336852. The cubic root of 63983520 is about 399.9656637193.

The spelling of 63983520 in words is "sixty-three million, nine hundred eighty-three thousand, five hundred twenty".