14883840 has 264 divisors, whose sum is σ = 57479760. Its totient is φ = 3538944.

The previous prime is 14883833. The next prime is 14883851. The reversal of 14883840 is 4838841.

14883840 = T₂₉₇ + T₂₉₈ + ... + T₄₈₆.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 14883795 and 14883804.

It is a congruent number.

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, 783351 + ... + 783369.

Almost surely, 2^14883840 is an apocalyptic number.

14883840 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 14883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28739880).

14883840 is an abundant number, since it is smaller than the sum of its proper divisors (42595920).

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

14883840 is a wasteful number, since it uses less digits than its factorization.

14883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

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

The square root of 14883840 is about 3857.9580091027. The cubic root of 14883840 is about 245.9829454764.

The spelling of 14883840 in words is "fourteen million, eight hundred eighty-three thousand, eight hundred forty".