14985376 has 72 divisors (see below), whose sum is σ = 36197280. Its totient is φ = 6072192.

The previous prime is 14985359. The next prime is 14985403. The reversal of 14985376 is 67358941.

It is a super-2 number, since 2×14985376² = 449122987722752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29541 + ... + 30043.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^14985376 is an apocalyptic number.

14985376 is a gapful number since it is divisible by the number (16) 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 14985376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098640).

14985376 is an abundant number, since it is smaller than the sum of its proper divisors (21211904).

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

14985376 is a wasteful number, since it uses less digits than its factorization.

14985376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 531 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 14985376 is about 3871.0949355447. The cubic root of 14985376 is about 246.5410349612.

The spelling of 14985376 in words is "fourteen million, nine hundred eighty-five thousand, three hundred seventy-six".