13188630 has 64 divisors (see below), whose sum is σ = 38965248. Its totient is φ = 2782080.

The previous prime is 13188619. The next prime is 13188631. The reversal of 13188630 is 3688131.

13188630 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13188630² = 347879922553800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13188631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315 + ... + 5145.

It is an arithmetic number, because the mean of its divisors is an integer number (608832).

Almost surely, 2^13188630 is an apocalyptic number.

13188630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13188630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19482624).

13188630 is an abundant number, since it is smaller than the sum of its proper divisors (25776618).

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

13188630 is a wasteful number, since it uses less digits than its factorization.

13188630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 13188630 is about 3631.6153430670. The cubic root of 13188630 is about 236.2652743407.

The spelling of 13188630 in words is "thirteen million, one hundred eighty-eight thousand, six hundred thirty".