63897600 has 204 divisors, whose sum is σ = 227539256. Its totient is φ = 15728640.

The previous prime is 63897593. The next prime is 63897601. The reversal of 63897600 is 679836.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63897601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4915194 + ... + 4915206.

Almost surely, 2^63897600 is an apocalyptic number.

63897600 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 63897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113769628).

63897600 is an abundant number, since it is smaller than the sum of its proper divisors (163641656).

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

63897600 is an equidigital number, since it uses as much as digits as its factorization.

63897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 63897600 is about 7993.5974379499. The cubic root of 63897600 is about 399.7865527876.

Multiplying 63897600 by its sum of digits (39), we get a square (2492006400 = 49920²).

63897600 divided by its sum of digits (39) gives a square (1638400 = 1280²).

The spelling of 63897600 in words is "sixty-three million, eight hundred ninety-seven thousand, six hundred".