14983840 has 48 divisors (see below), whose sum is σ = 35925120. Its totient is φ = 5904640.

The previous prime is 14983831. The next prime is 14983849. The reversal of 14983840 is 4838941.

It is an interprime number because it is at equal distance from previous prime (14983831) and next prime (14983849).

It is a super-2 number, since 2×14983840² = 449030922291200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14983840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14983849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10701 + ... + 12019.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 2^14983840 is an apocalyptic number.

14983840 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 14983840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962560).

14983840 is an abundant number, since it is smaller than the sum of its proper divisors (20941280).

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

14983840 is a wasteful number, since it uses less digits than its factorization.

14983840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 14983840 is about 3870.8965369795. The cubic root of 14983840 is about 246.5326111937.

It can be divided in two parts, 149838 and 40, that added together give a triangular number (149878 = T₅₄₇).

The spelling of 14983840 in words is "fourteen million, nine hundred eighty-three thousand, eight hundred forty".