63528864 has 192 divisors, whose sum is σ = 207277056. Its totient is φ = 16625664.

The previous prime is 63528863. The next prime is 63528911. The reversal of 63528864 is 46882536.

It is a super-2 number, since 2×63528864² = 8071833122260992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (63528863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765367 + ... + 765449.

It is an arithmetic number, because the mean of its divisors is an integer number (1079568).

Almost surely, 2^63528864 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 63528864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103638528).

63528864 is an abundant number, since it is smaller than the sum of its proper divisors (143748192).

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

63528864 is a wasteful number, since it uses less digits than its factorization.

63528864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 63528864 is about 7970.4996079292. The cubic root of 63528864 is about 399.0160482487.

The spelling of 63528864 in words is "sixty-three million, five hundred twenty-eight thousand, eight hundred sixty-four".