63981900 has 108 divisors (see below), whose sum is σ = 208054392. Its totient is φ = 17055360.

The previous prime is 63981889. The next prime is 63981937. The reversal of 63981900 is 918936.

63981900 is a `hidden beast` number, since 639 + 8 + 19 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×63981900² = 8187367055220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22984 + ... + 25616.

Almost surely, 2^63981900 is an apocalyptic number.

63981900 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 63981900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104027196).

63981900 is an abundant number, since it is smaller than the sum of its proper divisors (144072492).

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

63981900 is a wasteful number, since it uses less digits than its factorization.

63981900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 63981900 is about 7998.8686700058. The cubic root of 63981900 is about 399.9622881113.

The spelling of 63981900 in words is "sixty-three million, nine hundred eighty-one thousand, nine hundred".