13761400 has 48 divisors (see below), whose sum is σ = 32419800. Its totient is φ = 5431680.

The previous prime is 13761389. The next prime is 13761431. The reversal of 13761400 is 416731.

It is a super-2 number, since 2×13761400² = 378752259920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16186 + ... + 17014.

Almost surely, 2^13761400 is an apocalyptic number.

13761400 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 13761400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16209900).

13761400 is an abundant number, since it is smaller than the sum of its proper divisors (18658400).

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

13761400 is a wasteful number, since it uses less digits than its factorization.

13761400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 13761400 is about 3709.6361007517. The cubic root of 13761400 is about 239.6371832746.

It can be divided in two parts, 13761 and 400, that added together give a square (14161 = 119²).

The spelling of 13761400 in words is "thirteen million, seven hundred sixty-one thousand, four hundred".