13070400 has 168 divisors, whose sum is σ = 49133760. Its totient is φ = 2979840.

The previous prime is 13070377. The next prime is 13070411. The reversal of 13070400 is 407031.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13070400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33406 + ... + 33794.

Almost surely, 2^13070400 is an apocalyptic number.

13070400 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 13070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24566880).

13070400 is an abundant number, since it is smaller than the sum of its proper divisors (36063360).

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

13070400 is a wasteful number, since it uses less digits than its factorization.

13070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 13070400 is about 3615.3008173595. The cubic root of 13070400 is about 235.5571509458.

Adding to 13070400 its reverse (407031), we get a palindrome (13477431).

The spelling of 13070400 in words is "thirteen million, seventy thousand, four hundred".