63815472 has 160 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 17805312.

The previous prime is 63815461. The next prime is 63815503. The reversal of 63815472 is 27451836.

63815472 is a `hidden beast` number, since 638 + 15 + 4 + 7 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 141904 + ... + 142352.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^63815472 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 63815472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

63815472 is an abundant number, since it is smaller than the sum of its proper divisors (150456528).

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

63815472 is a wasteful number, since it uses less digits than its factorization.

63815472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 508 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 63815472 is about 7988.4586748634. The cubic root of 63815472 is about 399.6151966012.

It can be divided in two parts, 638 and 15472, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 63815472 in words is "sixty-three million, eight hundred fifteen thousand, four hundred seventy-two".