63649872 has 180 divisors, whose sum is σ = 211608852. Its totient is φ = 17740800.

The previous prime is 63649843. The next prime is 63649877. The reversal of 63649872 is 27894636.

63649872 is a `hidden beast` number, since 636 + 4 + 9 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25160256 + 38489616 = 5016^2 + 6204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63649877) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226372 + ... + 226652.

It is a vampire number, since it can be written as 6864 ⋅ 9273 (with its own digits).

Almost surely, 2^63649872 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 63649872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105804426).

63649872 is an abundant number, since it is smaller than the sum of its proper divisors (147958980).

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

63649872 is a wasteful number, since it uses less digits than its factorization.

63649872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 310 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 63649872 is about 7978.0869887461. The cubic root of 63649872 is about 399.2692324266.

The spelling of 63649872 in words is "sixty-three million, six hundred forty-nine thousand, eight hundred seventy-two".