63840100 has 81 divisors (see below), whose sum is σ = 150359083. Its totient is φ = 23522560.

The previous prime is 63840089. The next prime is 63840103. The reversal of 63840100 is 104836.

63840100 = 210² + 211² + ... + 585².

The square root of 63840100 is 7990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1493284 + 62346816 = 1222^2 + 7896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63840103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1358277 + ... + 1358323.

Almost surely, 2^63840100 is an apocalyptic number.

63840100 is the 7990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63840100

63840100 is an abundant number, since it is smaller than the sum of its proper divisors (86518983).

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

63840100 is a wasteful number, since it uses less digits than its factorization.

63840100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 63840100 is about 399.6665971836. Note that the first 3 decimals are identical.

Multiplying 63840100 by its product of nonzero digits (576), we get a square (36771897600 = 191760²).

Adding to 63840100 its reverse (104836), we get a palindrome (63944936).

The spelling of 63840100 in words is "sixty-three million, eight hundred forty thousand, one hundred".