63900672 has 176 divisors, whose sum is σ = 194939904. Its totient is φ = 18432000.

The previous prime is 63900653. The next prime is 63900679. The reversal of 63900672 is 27600936.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63900679) 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, 1047522 + ... + 1047582.

Almost surely, 2^63900672 is an apocalyptic number.

63900672 is a gapful number since it is divisible by the number (62) 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 63900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97469952).

63900672 is an abundant number, since it is smaller than the sum of its proper divisors (131039232).

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

63900672 is a wasteful number, since it uses less digits than its factorization.

63900672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 63900672 is about 7993.7895894250. The cubic root of 63900672 is about 399.7929595208.

The spelling of 63900672 in words is "sixty-three million, nine hundred thousand, six hundred seventy-two".