14180640 has 96 divisors (see below), whose sum is σ = 46158336. Its totient is φ = 3655680.

The previous prime is 14180611. The next prime is 14180659. The reversal of 14180640 is 4608141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14180640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14404 + ... + 15356.

It is an arithmetic number, because the mean of its divisors is an integer number (480816).

Almost surely, 2^14180640 is an apocalyptic number.

14180640 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 14180640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23079168).

14180640 is an abundant number, since it is smaller than the sum of its proper divisors (31977696).

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

14180640 is a wasteful number, since it uses less digits than its factorization.

14180640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 14180640 is about 3765.7190548420. The cubic root of 14180640 is about 242.0463904873.

Adding to 14180640 its reverse (4608141), we get a palindrome (18788781).

The spelling of 14180640 in words is "fourteen million, one hundred eighty thousand, six hundred forty".