63462564 has 108 divisors (see below), whose sum is σ = 186918732. Its totient is φ = 18078720.

The previous prime is 63462563. The next prime is 63462577. The reversal of 63462564 is 46526436.

63462564 is a `hidden beast` number, since 6 + 34 + 62 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54641664 + 8820900 = 7392^2 + 2970^2 .

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

It is not an unprimeable number, because it can be changed into a prime (63462563) 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, 73624 + ... + 74480.

It is an arithmetic number, because the mean of its divisors is an integer number (1730729).

Almost surely, 2^63462564 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 63462564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93459366).

63462564 is an abundant number, since it is smaller than the sum of its proper divisors (123456168).

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

63462564 is a wasteful number, since it uses less digits than its factorization.

63462564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 890 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 63462564 is about 7966.3394353994. The cubic root of 63462564 is about 398.8771928761.

The spelling of 63462564 in words is "sixty-three million, four hundred sixty-two thousand, five hundred sixty-four".