13001460 has 48 divisors (see below), whose sum is σ = 36568896. Its totient is φ = 3451392.

The previous prime is 13001459. The next prime is 13001477. The reversal of 13001460 is 6410031.

13001460 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 19899 + ... + 20541.

It is an arithmetic number, because the mean of its divisors is an integer number (761852).

Almost surely, 2^13001460 is an apocalyptic number.

13001460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001460 is an abundant number, since it is smaller than the sum of its proper divisors (23567436).

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

13001460 is a wasteful number, since it uses less digits than its factorization.

13001460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13001460 is about 3605.7537353513. The cubic root of 13001460 is about 235.1422708750.

Adding to 13001460 its reverse (6410031), we get a palindrome (19411491).

The spelling of 13001460 in words is "thirteen million, one thousand, four hundred sixty".