14697120 has 96 divisors (see below), whose sum is σ = 47089728. Its totient is φ = 3852288.

The previous prime is 14697107. The next prime is 14697121. The reversal of 14697120 is 2179641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (14697121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31932 + ... + 32388.

It is an arithmetic number, because the mean of its divisors is an integer number (490518).

Almost surely, 2^14697120 is an apocalyptic number.

14697120 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 14697120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23544864).

14697120 is an abundant number, since it is smaller than the sum of its proper divisors (32392608).

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

14697120 is a wasteful number, since it uses less digits than its factorization.

14697120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 14697120 is about 3833.6823029563. The cubic root of 14697120 is about 244.9499828481.

The spelling of 14697120 in words is "fourteen million, six hundred ninety-seven thousand, one hundred twenty".