13279840 has 96 divisors (see below), whose sum is σ = 36578304. Its totient is φ = 4462080.

The previous prime is 13279837. The next prime is 13279843. The reversal of 13279840 is 4897231.

It is an interprime number because it is at equal distance from previous prime (13279837) and next prime (13279843).

It is a junction number, because it is equal to n+sod(n) for n = 13279796 and 13279805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13279843) 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, 79437 + ... + 79603.

It is an arithmetic number, because the mean of its divisors is an integer number (381024).

Almost surely, 2^13279840 is an apocalyptic number.

13279840 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 13279840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152).

13279840 is an abundant number, since it is smaller than the sum of its proper divisors (23298464).

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

13279840 is a wasteful number, since it uses less digits than its factorization.

13279840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 13279840 is about 3644.1514787396. The cubic root of 13279840 is about 236.8086784621.

The spelling of 13279840 in words is "thirteen million, two hundred seventy-nine thousand, eight hundred forty".