14916900 has 72 divisors (see below), whose sum is σ = 45448480. Its totient is φ = 3767040.

The previous prime is 14916899. The next prime is 14916917. The reversal of 14916900 is 961941.

14916900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14916900² = 445027811220000, which contains 22 as substring.

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

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, 4392 + ... + 7008.

Almost surely, 2^14916900 is an apocalyptic number.

14916900 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 14916900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22724240).

14916900 is an abundant number, since it is smaller than the sum of its proper divisors (30531580).

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

14916900 is a wasteful number, since it uses less digits than its factorization.

14916900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 14916900 is about 3862.2402825303. The cubic root of 14916900 is about 246.1649366497.

The spelling of 14916900 in words is "fourteen million, nine hundred sixteen thousand, nine hundred".