13158640 has 80 divisors (see below), whose sum is σ = 35176320. Its totient is φ = 4527360.

The previous prime is 13158617. The next prime is 13158647. The reversal of 13158640 is 4685131.

13158640 = T₁₁ + T₁₂ + ... + T₄₂₈.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 13158599 and 13158608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13158647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16327 + ... + 17113.

It is an arithmetic number, because the mean of its divisors is an integer number (439704).

Almost surely, 2^13158640 is an apocalyptic number.

13158640 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 13158640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17588160).

13158640 is an abundant number, since it is smaller than the sum of its proper divisors (22017680).

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

13158640 is a wasteful number, since it uses less digits than its factorization.

13158640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 13158640 is about 3627.4839765325. The cubic root of 13158640 is about 236.0860549908.

The spelling of 13158640 in words is "thirteen million, one hundred fifty-eight thousand, six hundred forty".