13856700 has 288 divisors, whose sum is σ = 52496640. Its totient is φ = 2764800.

The previous prime is 13856671. The next prime is 13856723. The reversal of 13856700 is 765831.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 729291 + ... + 729309.

It is an arithmetic number, because the mean of its divisors is an integer number (182280).

Almost surely, 2^13856700 is an apocalyptic number.

13856700 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 13856700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320).

13856700 is an abundant number, since it is smaller than the sum of its proper divisors (38639940).

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

13856700 is a wasteful number, since it uses less digits than its factorization.

13856700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 13856700 is about 3722.4588647828. The cubic root of 13856700 is about 240.1890870973.

The spelling of 13856700 in words is "thirteen million, eight hundred fifty-six thousand, seven hundred".