14953920 has 112 divisors (see below), whose sum is σ = 48877728. Its totient is φ = 3870720.

The previous prime is 14953909. The next prime is 14953927. The reversal of 14953920 is 2935941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14953927) 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, 35310 + ... + 35730.

Almost surely, 2^14953920 is an apocalyptic number.

14953920 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 14953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24438864).

14953920 is an abundant number, since it is smaller than the sum of its proper divisors (33923808).

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

14953920 is a wasteful number, since it uses less digits than its factorization.

14953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

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

The square root of 14953920 is about 3867.0298679995. The cubic root of 14953920 is about 246.3684082733.

The spelling of 14953920 in words is "fourteen million, nine hundred fifty-three thousand, nine hundred twenty".