13006392 has 32 divisors (see below), whose sum is σ = 37161600. Its totient is φ = 3716064.

The previous prime is 13006387. The next prime is 13006421. The reversal of 13006392 is 29360031.

13006392 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38542 + ... + 38877.

It is an arithmetic number, because the mean of its divisors is an integer number (1161300).

Almost surely, 2^13006392 is an apocalyptic number.

13006392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13006392 is an abundant number, since it is smaller than the sum of its proper divisors (24155208).

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

13006392 is a wasteful number, since it uses less digits than its factorization.

13006392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77435 (or 77431 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 13006392 is about 3606.4375774440. The cubic root of 13006392 is about 235.1720002302.

The spelling of 13006392 in words is "thirteen million, six thousand, three hundred ninety-two".