13165740 has 192 divisors, whose sum is σ = 48491520. Its totient is φ = 2939328.

The previous prime is 13165721. The next prime is 13165751. The reversal of 13165740 is 4756131.

13165740 is a `hidden beast` number, since 1 + 3 + 1 + 657 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 306159 + ... + 306201.

It is an arithmetic number, because the mean of its divisors is an integer number (252560).

Almost surely, 2^13165740 is an apocalyptic number.

13165740 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 13165740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24245760).

13165740 is an abundant number, since it is smaller than the sum of its proper divisors (35325780).

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

13165740 is an equidigital number, since it uses as much as digits as its factorization.

13165740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13165740 is about 3628.4624843038. The cubic root of 13165740 is about 236.1285089628.

It can be divided in two parts, 1316 and 5740, that added together give a square (7056 = 84²).

The spelling of 13165740 in words is "thirteen million, one hundred sixty-five thousand, seven hundred forty".