63840400 has 60 divisors (see below), whose sum is σ = 165188212. Its totient is φ = 23569920.

The previous prime is 63840353. The next prime is 63840407. The reversal of 63840400 is 404836.

It can be written as a sum of positive squares in 6 ways, for example, as 19324816 + 44515584 = 4396^2 + 6672^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (63840407) 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, 939 + ... + 11338.

Almost surely, 2^63840400 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 63840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82594106).

63840400 is an abundant number, since it is smaller than the sum of its proper divisors (101347812).

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

63840400 is a wasteful number, since it uses less digits than its factorization.

63840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12308 (or 12297 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 63840400 is about 7990.0187734448. The cubic root of 63840400 is about 399.6672232258.

The spelling of 63840400 in words is "sixty-three million, eight hundred forty thousand, four hundred".