14968700 has 36 divisors (see below), whose sum is σ = 32701032. Its totient is φ = 5947200.

The previous prime is 14968697. The next prime is 14968703. The reversal of 14968700 is 786941.

It is an interprime number because it is at equal distance from previous prime (14968697) and next prime (14968703).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14968703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17687 + ... + 18513.

It is an arithmetic number, because the mean of its divisors is an integer number (908362).

Almost surely, 2^14968700 is an apocalyptic number.

14968700 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 14968700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16350516).

14968700 is an abundant number, since it is smaller than the sum of its proper divisors (17732332).

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

14968700 is a wasteful number, since it uses less digits than its factorization.

14968700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 14968700 is about 3868.9404234234. The cubic root of 14968700 is about 246.4495492289.

The spelling of 14968700 in words is "fourteen million, nine hundred sixty-eight thousand, seven hundred".