13626900 has 216 divisors, whose sum is σ = 51455040. Its totient is φ = 3084480.

The previous prime is 13626889. The next prime is 13626901. The reversal of 13626900 is 962631.

It is a happy number.

It is a super-2 number, since 2×13626900² = 371384807220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13626901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132249 + ... + 132351.

Almost surely, 2^13626900 is an apocalyptic number.

13626900 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 13626900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25727520).

13626900 is an abundant number, since it is smaller than the sum of its proper divisors (37828140).

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

13626900 is a wasteful number, since it uses less digits than its factorization.

13626900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13626900 is about 3691.4631245619. The cubic root of 13626900 is about 238.8539107091.

The spelling of 13626900 in words is "thirteen million, six hundred twenty-six thousand, nine hundred".