14886900 has 216 divisors, whose sum is σ = 56871360. Its totient is φ = 3179520.

The previous prime is 14886871. The next prime is 14886919. The reversal of 14886900 is 968841.

It is a happy number.

It is a super-2 number, since 2×14886900² = 443239583220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107031 + ... + 107169.

Almost surely, 2^14886900 is an apocalyptic number.

14886900 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 14886900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680).

14886900 is an abundant number, since it is smaller than the sum of its proper divisors (41984460).

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

14886900 is a wasteful number, since it uses less digits than its factorization.

14886900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 14886900 is about 3858.3545715758. The cubic root of 14886900 is about 245.9998017052. Note that the first 3 decimals are identical.

Adding to 14886900 its sum of digits (36), we get a cube (14886936 = 246³).

The spelling of 14886900 in words is "fourteen million, eight hundred eighty-six thousand, nine hundred".