13679540 has 24 divisors (see below), whose sum is σ = 32831232. Its totient is φ = 4690080.

The previous prime is 13679539. The next prime is 13679557. The reversal of 13679540 is 4597631.

It is a super-2 number, since 2×13679540² = 374259629223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13679540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48716 + ... + 48995.

It is an arithmetic number, because the mean of its divisors is an integer number (1367968).

Almost surely, 2^13679540 is an apocalyptic number.

13679540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13679540 is an abundant number, since it is smaller than the sum of its proper divisors (19151692).

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

13679540 is a wasteful number, since it uses less digits than its factorization.

13679540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97727 (or 97725 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 13679540 is about 3698.5862163805. The cubic root of 13679540 is about 239.1610755706.

The spelling of 13679540 in words is "thirteen million, six hundred seventy-nine thousand, five hundred forty".