13364900 has 18 divisors (see below), whose sum is σ = 29002050. Its totient is φ = 5345920.

The previous prime is 13364899. The next prime is 13364903. The reversal of 13364900 is 946331.

It can be written as a sum of positive squares in 3 ways, for example, as 246016 + 13118884 = 496^2 + 3622^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13364900.

It is not an unprimeable number, because it can be changed into a prime (13364903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66725 + ... + 66924.

It is an arithmetic number, because the mean of its divisors is an integer number (1611225).

Almost surely, 2^13364900 is an apocalyptic number.

13364900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13364900 is an abundant number, since it is smaller than the sum of its proper divisors (15637150).

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

13364900 is a wasteful number, since it uses less digits than its factorization.

13364900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133663 (or 133656 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 13364900 is about 3655.8036052283. The cubic root of 13364900 is about 237.3132049237.

The spelling of 13364900 in words is "thirteen million, three hundred sixty-four thousand, nine hundred".