14929920 has 182 divisors, whose sum is σ = 53716578. Its totient is φ = 3981312.

The previous prime is 14929919. The next prime is 14929963. The reversal of 14929920 is 2992941.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)² ⋅ (3!)².

It can be written as a sum of positive squares in only one way, i.e., 11943936 + 2985984 = 3456^2 + 1728^2 .

It is a super-2 number, since 2×14929920² = 445805022412800, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2985982 + ... + 2985986.

Almost surely, 2^14929920 is an apocalyptic number.

14929920 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 14929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26858289).

14929920 is an abundant number, since it is smaller than the sum of its proper divisors (38786658).

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

14929920 is an frugal number, since it uses more digits than its factorization.

14929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 14929920 is about 3863.9254651196. The cubic root of 14929920 is about 246.2365363214.

The spelling of 14929920 in words is "fourteen million, nine hundred twenty-nine thousand, nine hundred twenty".