14965920 has 144 divisors (see below), whose sum is σ = 53857440. Its totient is φ = 3773952.

The previous prime is 14965919. The next prime is 14965921. The reversal of 14965920 is 2956941.

It is an interprime number because it is at equal distance from previous prime (14965919) and next prime (14965921).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14965920² = 447957522892800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14965921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27087 + ... + 27633.

It is an arithmetic number, because the mean of its divisors is an integer number (374010).

Almost surely, 2^14965920 is an apocalyptic number.

14965920 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 14965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26928720).

14965920 is an abundant number, since it is smaller than the sum of its proper divisors (38891520).

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

14965920 is a wasteful number, since it uses less digits than its factorization.

14965920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 14965920 is about 3868.5811352484. The cubic root of 14965920 is about 246.4342913426.

The spelling of 14965920 in words is "fourteen million, nine hundred sixty-five thousand, nine hundred twenty".