14955840 has 140 divisors (see below), whose sum is σ = 53292756. Its totient is φ = 3981312.

The previous prime is 14955839. The next prime is 14955841. The reversal of 14955840 is 4855941.

It is an interprime number because it is at equal distance from previous prime (14955839) and next prime (14955841).

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 3504384 = 3384^2 + 1872^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14955795 and 14955804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14955841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25632 + ... + 26208.

Almost surely, 2^14955840 is an apocalyptic number.

14955840 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 14955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26646378).

14955840 is an abundant number, since it is smaller than the sum of its proper divisors (38336916).

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

14955840 is an equidigital number, since it uses as much as digits as its factorization.

14955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 14955840 is about 3867.2781125748. The cubic root of 14955840 is about 246.3789519323.

The spelling of 14955840 in words is "fourteen million, nine hundred fifty-five thousand, eight hundred forty".