63575820 has 288 divisors, whose sum is σ = 250252800. Its totient is φ = 13115520.

The previous prime is 63575797. The next prime is 63575821. The reversal of 63575820 is 2857536.

63575820 is a `hidden beast` number, since 6 + 3 + 575 + 82 + 0 = 666.

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 (63575821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 457311 + ... + 457449.

Almost surely, 2^63575820 is an apocalyptic number.

63575820 is a gapful number since it is divisible by the number (60) 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 63575820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125126400).

63575820 is an abundant number, since it is smaller than the sum of its proper divisors (186676980).

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

63575820 is a wasteful number, since it uses less digits than its factorization.

63575820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 63575820 is about 7973.4446759227. Note that the first 3 decimals coincide. The cubic root of 63575820 is about 399.1143320949.

The spelling of 63575820 in words is "sixty-three million, five hundred seventy-five thousand, eight hundred twenty".