14591640 has 128 divisors (see below), whose sum is σ = 51840000. Its totient is φ = 3214848.

The previous prime is 14591623. The next prime is 14591641. The reversal of 14591640 is 4619541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14591598 and 14591607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14591641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24061 + ... + 24659.

It is an arithmetic number, because the mean of its divisors is an integer number (405000).

Almost surely, 2^14591640 is an apocalyptic number.

14591640 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 14591640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920000).

14591640 is an abundant number, since it is smaller than the sum of its proper divisors (37248360).

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

14591640 is a wasteful number, since it uses less digits than its factorization.

14591640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 14591640 is about 3819.9005222649. The cubic root of 14591640 is about 244.3625801778.

The spelling of 14591640 in words is "fourteen million, five hundred ninety-one thousand, six hundred forty".