13942080 has 168 divisors, whose sum is σ = 49450752. Its totient is φ = 3603456.

The previous prime is 13942073. The next prime is 13942087. The reversal of 13942080 is 8024931.

It is an interprime number because it is at equal distance from previous prime (13942073) and next prime (13942087).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13942087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135309 + ... + 135411.

Almost surely, 2^13942080 is an apocalyptic number.

13942080 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 13942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24725376).

13942080 is an abundant number, since it is smaller than the sum of its proper divisors (35508672).

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

13942080 is a wasteful number, since it uses less digits than its factorization.

13942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13942080 is about 3733.9094793527. The cubic root of 13942080 is about 240.6813969118.

The spelling of 13942080 in words is "thirteen million, nine hundred forty-two thousand, eighty".