13642440 has 128 divisors (see below), whose sum is σ = 47520000. Its totient is φ = 3068928.

The previous prime is 13642439. The next prime is 13642457. The reversal of 13642440 is 4424631.

It is a super-2 number, since 2×13642440² = 372232338307200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13642440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91486 + ... + 91634.

It is an arithmetic number, because the mean of its divisors is an integer number (371250).

Almost surely, 2^13642440 is an apocalyptic number.

13642440 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 13642440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23760000).

13642440 is an abundant number, since it is smaller than the sum of its proper divisors (33877560).

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

13642440 is a wasteful number, since it uses less digits than its factorization.

13642440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 13642440 is about 3693.5673812725. The cubic root of 13642440 is about 238.9446718678.

The spelling of 13642440 in words is "thirteen million, six hundred forty-two thousand, four hundred forty".