13630500 has 144 divisors (see below), whose sum is σ = 46506096. Its totient is φ = 3340800.

The previous prime is 13630469. The next prime is 13630553. The reversal of 13630500 is 503631.

13630500 is a `hidden beast` number, since 136 + 30 + 500 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9144576 + 4485924 = 3024^2 + 2118^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58384 + ... + 58616.

It is an arithmetic number, because the mean of its divisors is an integer number (322959).

Almost surely, 2^13630500 is an apocalyptic number.

13630500 is a gapful number since it is divisible by the number (10) 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 13630500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23253048).

13630500 is an abundant number, since it is smaller than the sum of its proper divisors (32875596).

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

13630500 is a wasteful number, since it uses less digits than its factorization.

13630500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13630500 is about 3691.9507038962. The cubic root of 13630500 is about 238.8749425987.

The spelling of 13630500 in words is "thirteen million, six hundred thirty thousand, five hundred".