13082400 has 216 divisors, whose sum is σ = 48746880. Its totient is φ = 3294720.

The previous prime is 13082387. The next prime is 13082411. The reversal of 13082400 is 428031.

It is a happy number.

13082400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13082400² = 342298379520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165561 + ... + 165639.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 2^13082400 is an apocalyptic number.

13082400 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 13082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

13082400 is an abundant number, since it is smaller than the sum of its proper divisors (35664480).

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

13082400 is a wasteful number, since it uses less digits than its factorization.

13082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13082400 is about 3616.9600495444. The cubic root of 13082400 is about 235.6292176305.

The spelling of 13082400 in words is "thirteen million, eighty-two thousand, four hundred".