13945920 has 112 divisors (see below), whose sum is σ = 45110400. Its totient is φ = 3649536.

The previous prime is 13945913. The next prime is 13945927. The reversal of 13945920 is 2954931.

It is an interprime number because it is at equal distance from previous prime (13945913) and next prime (13945927).

It is not an unprimeable number, because it can be changed into a prime (13945927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69981 + ... + 70179.

Almost surely, 2^13945920 is an apocalyptic number.

13945920 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 13945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22555200).

13945920 is an abundant number, since it is smaller than the sum of its proper divisors (31164480).

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

13945920 is a wasteful number, since it uses less digits than its factorization.

13945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 13945920 is about 3734.4236503107. The cubic root of 13945920 is about 240.7034914565.

The spelling of 13945920 in words is "thirteen million, nine hundred forty-five thousand, nine hundred twenty".