13650400 has 72 divisors (see below), whose sum is σ = 33841584. Its totient is φ = 5376000.

The previous prime is 13650391. The next prime is 13650409. The reversal of 13650400 is 405631.

It is an interprime number because it is at equal distance from previous prime (13650391) and next prime (13650409).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13650409) 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, 90325 + ... + 90475.

It is an arithmetic number, because the mean of its divisors is an integer number (470022).

Almost surely, 2^13650400 is an apocalyptic number.

13650400 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 13650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920792).

13650400 is an abundant number, since it is smaller than the sum of its proper divisors (20191184).

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

13650400 is a wasteful number, since it uses less digits than its factorization.

13650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 13650400 is about 3694.6447731819. The cubic root of 13650400 is about 238.9911354473.

The spelling of 13650400 in words is "thirteen million, six hundred fifty thousand, four hundred".