13732642 has 24 divisors (see below), whose sum is σ = 26142480. Its totient is φ = 5349960.

The previous prime is 13732639. The next prime is 13732643. The reversal of 13732642 is 24623731.

It is a super-3 number, since 3×13732642³ (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13732642.

It is not an unprimeable number, because it can be changed into a prime (13732643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5292 + ... + 7447.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^13732642 is an apocalyptic number.

13732642 is a deficient number, since it is larger than the sum of its proper divisors (12409838).

13732642 is a wasteful number, since it uses less digits than its factorization.

13732642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12766 (or 12759 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The square root of 13732642 is about 3705.7579521604. The cubic root of 13732642 is about 239.4701389281.

It can be divided in two parts, 13 and 732642, that added together give a triangular number (732655 = T₁₂₁₀).

The spelling of 13732642 in words is "thirteen million, seven hundred thirty-two thousand, six hundred forty-two".