13275600 has 240 divisors, whose sum is σ = 49080192. Its totient is φ = 3041280.

The previous prime is 13275571. The next prime is 13275607. The reversal of 13275600 is 657231.

It is a tau number, because it is divible by the number of its divisors (240).

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 (13275607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358782 + ... + 358818.

Almost surely, 2^13275600 is an apocalyptic number.

13275600 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 13275600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24540096).

13275600 is an abundant number, since it is smaller than the sum of its proper divisors (35804592).

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

13275600 is a wasteful number, since it uses less digits than its factorization.

13275600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 13275600 is about 3643.5696782139. The cubic root of 13275600 is about 236.7834729456.

The spelling of 13275600 in words is "thirteen million, two hundred seventy-five thousand, six hundred".