13409600 has 126 divisors (see below), whose sum is σ = 36259770. Its totient is φ = 4874240.

The previous prime is 13409587. The next prime is 13409603. The reversal of 13409600 is 690431.

It can be written as a sum of positive squares in 9 ways, for example, as 678976 + 12730624 = 824^2 + 3568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13409603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 462386 + ... + 462414.

Almost surely, 2^13409600 is an apocalyptic number.

13409600 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 13409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18129885).

13409600 is an abundant number, since it is smaller than the sum of its proper divisors (22850170).

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

13409600 is a wasteful number, since it uses less digits than its factorization.

13409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 13409600 is about 3661.9120688515. The cubic root of 13409600 is about 237.5774816450.

The spelling of 13409600 in words is "thirteen million, four hundred nine thousand, six hundred".