63798100 has 36 divisors (see below), whose sum is σ = 138795804. Its totient is φ = 25454080.

The previous prime is 63798083. The next prime is 63798103. The reversal of 63798100 is 189736.

It can be written as a sum of positive squares in 6 ways, for example, as 21904 + 63776196 = 148^2 + 7986^2 .

It is a super-2 number, since 2×63798100² = 8140395127220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63798103) 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, 64812 + ... + 65788.

It is an arithmetic number, because the mean of its divisors is an integer number (3855439).

Almost surely, 2^63798100 is an apocalyptic number.

It is an amenable number.

63798100 is an abundant number, since it is smaller than the sum of its proper divisors (74997704).

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

63798100 is a wasteful number, since it uses less digits than its factorization.

63798100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 63798100 is about 7987.3712822179. The cubic root of 63798100 is about 399.5789319097.

The spelling of 63798100 in words is "sixty-three million, seven hundred ninety-eight thousand, one hundred".