13642976 has 48 divisors (see below), whose sum is σ = 29393280. Its totient is φ = 6205440.

The previous prime is 13642961. The next prime is 13642987. The reversal of 13642976 is 67924631.

It is a super-2 number, since 2×13642976² = 372261588273152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16460 + ... + 17268.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 2^13642976 is an apocalyptic number.

13642976 is a gapful number since it is divisible by the number (16) 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 13642976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696640).

13642976 is an abundant number, since it is smaller than the sum of its proper divisors (15750304).

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

13642976 is a wasteful number, since it uses less digits than its factorization.

13642976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 859 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 13642976 is about 3693.6399391386. The cubic root of 13642976 is about 238.9478011386.

The spelling of 13642976 in words is "thirteen million, six hundred forty-two thousand, nine hundred seventy-six".