13401600 has 120 divisors (see below), whose sum is σ = 44398200. Its totient is φ = 3563520.

The previous prime is 13401587. The next prime is 13401607. The reversal of 13401600 is 610431.

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 (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13401600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13401607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38226 + ... + 38574.

It is an arithmetic number, because the mean of its divisors is an integer number (369985).

Almost surely, 2^13401600 is an apocalyptic number.

13401600 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 13401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22199100).

13401600 is an abundant number, since it is smaller than the sum of its proper divisors (30996600).

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

13401600 is an equidigital number, since it uses as much as digits as its factorization.

13401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13401600 is about 3660.8195803672. The cubic root of 13401600 is about 237.5302269931.

The spelling of 13401600 in words is "thirteen million, four hundred one thousand, six hundred".