14129640 has 240 divisors, whose sum is σ = 55865700. Its totient is φ = 3193344.

The previous prime is 14129629. The next prime is 14129651. The reversal of 14129640 is 4692141.

14129640 is a `hidden beast` number, since 1 + 4 + 12 + 9 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (14129629) and next prime (14129651).

It can be written as a sum of positive squares in 2 ways, for example, as 13351716 + 777924 = 3654^2 + 882^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158716 + ... + 158804.

Almost surely, 2^14129640 is an apocalyptic number.

14129640 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 14129640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27932850).

14129640 is an abundant number, since it is smaller than the sum of its proper divisors (41736060).

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

14129640 is a wasteful number, since it uses less digits than its factorization.

14129640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14129640 is about 3758.9413403244. The cubic root of 14129640 is about 241.7558724713.

The spelling of 14129640 in words is "fourteen million, one hundred twenty-nine thousand, six hundred forty".