13011840 has 160 divisors (see below), whose sum is σ = 46652760. Its totient is φ = 3456000.

The previous prime is 13011839. The next prime is 13011841. The reversal of 13011840 is 4811031.

It is an interprime number because it is at equal distance from previous prime (13011839) and next prime (13011841).

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51715 + ... + 51965.

Almost surely, 2^13011840 is an apocalyptic number.

13011840 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 13011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23326380).

13011840 is an abundant number, since it is smaller than the sum of its proper divisors (33640920).

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

13011840 is an equidigital number, since it uses as much as digits as its factorization.

13011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13011840 is about 3607.1928143641. The cubic root of 13011840 is about 235.2048312210.

Adding to 13011840 its reverse (4811031), we get a palindrome (17822871).

The spelling of 13011840 in words is "thirteen million, eleven thousand, eight hundred forty".