14640120 has 96 divisors (see below), whose sum is σ = 51919920. Its totient is φ = 3548160.

The previous prime is 14640097. The next prime is 14640133. The reversal of 14640120 is 2104641.

14640120 is a `hidden beast` number, since 1 + 4 + 640 + 1 + 20 = 666.

It is a super-2 number, since 2×14640120² = 428666227228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14640093 and 14640102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2112 + ... + 5808.

Almost surely, 2^14640120 is an apocalyptic number.

14640120 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 14640120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25959960).

14640120 is an abundant number, since it is smaller than the sum of its proper divisors (37279800).

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

14640120 is a wasteful number, since it uses less digits than its factorization.

14640120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14640120 is about 3826.2409751609. The cubic root of 14640120 is about 244.6329085309.

Adding to 14640120 its reverse (2104641), we get a palindrome (16744761).

The spelling of 14640120 in words is "fourteen million, six hundred forty thousand, one hundred twenty".