13097040 has 160 divisors (see below), whose sum is σ = 45747072. Its totient is φ = 3097600.

The previous prime is 13097033. The next prime is 13097041. The reversal of 13097040 is 4079031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13097040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13097041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319420 + ... + 319460.

Almost surely, 2^13097040 is an apocalyptic number.

13097040 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 13097040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22873536).

13097040 is an abundant number, since it is smaller than the sum of its proper divisors (32650032).

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

13097040 is a wasteful number, since it uses less digits than its factorization.

13097040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 13097040 is about 3618.9832826362. The cubic root of 13097040 is about 235.7170793320.

Subtracting from 13097040 its reverse (4079031), we obtain a square (9018009 = 3003²).

The spelling of 13097040 in words is "thirteen million, ninety-seven thousand, forty".