13880400 has 120 divisors (see below), whose sum is σ = 45666720. Its totient is φ = 3601920.

The previous prime is 13880371. The next prime is 13880407. The reversal of 13880400 is 408831.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13880407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51466 + ... + 51734.

It is an arithmetic number, because the mean of its divisors is an integer number (380556).

Almost surely, 2^13880400 is an apocalyptic number.

13880400 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 13880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22833360).

13880400 is an abundant number, since it is smaller than the sum of its proper divisors (31786320).

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

13880400 is a wasteful number, since it uses less digits than its factorization.

13880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 13880400 is about 3725.6408844654. The cubic root of 13880400 is about 240.3259460185.

13880400 divided by its sum of digits (24) gives a triangular number (578350 = T₁₀₇₅).

The spelling of 13880400 in words is "thirteen million, eight hundred eighty thousand, four hundred".