14834880 has 224 divisors, whose sum is σ = 55961280. Its totient is φ = 3686400.

The previous prime is 14834867. The next prime is 14834893. The reversal of 14834880 is 8843841.

It is an interprime number because it is at equal distance from previous prime (14834867) and next prime (14834893).

It is a super-2 number, since 2×14834880² = 440147329228800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146830 + ... + 146930.

Almost surely, 2^14834880 is an apocalyptic number.

14834880 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 14834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27980640).

14834880 is an abundant number, since it is smaller than the sum of its proper divisors (41126400).

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

14834880 is a wasteful number, since it uses less digits than its factorization.

14834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 14834880 is about 3851.6074566342. The cubic root of 14834880 is about 245.7129310492.

The spelling of 14834880 in words is "fourteen million, eight hundred thirty-four thousand, eight hundred eighty".