63569920 has 72 divisors (see below), whose sum is σ = 154140084. Its totient is φ = 25165824.

The previous prime is 63569917. The next prime is 63569923. The reversal of 63569920 is 2996536.

It is an interprime number because it is at equal distance from previous prime (63569917) and next prime (63569923).

It can be written as a sum of positive squares in 2 ways, for example, as 62980096 + 589824 = 7936^2 + 768^2 .

It is a super-3 number, since 3×63569920³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (63569923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 655312 + ... + 655408.

Almost surely, 2^63569920 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 63569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77070042).

63569920 is an abundant number, since it is smaller than the sum of its proper divisors (90570164).

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

63569920 is an frugal number, since it uses more digits than its factorization.

63569920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The square root of 63569920 is about 7973.0746892275. The cubic root of 63569920 is about 399.1019854333.

The spelling of 63569920 in words is "sixty-three million, five hundred sixty-nine thousand, nine hundred twenty".