13407000 has 128 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 3456000.

The previous prime is 13406977. The next prime is 13407047. The reversal of 13407000 is 70431.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122946 + ... + 123054.

Almost surely, 2^13407000 is an apocalyptic number.

13407000 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 13407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

13407000 is an abundant number, since it is smaller than the sum of its proper divisors (29836200).

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

13407000 is a wasteful number, since it uses less digits than its factorization.

13407000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

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

The square root of 13407000 is about 3661.5570458481. The cubic root of 13407000 is about 237.5621259451.

Adding to 13407000 its reverse (70431), we get a palindrome (13477431).

The spelling of 13407000 in words is "thirteen million, four hundred seven thousand".