14992640 has 144 divisors (see below), whose sum is σ = 41722128. Its totient is φ = 5111808.

The previous prime is 14992633. The next prime is 14992643. The reversal of 14992640 is 4629941.

It can be written as a sum of positive squares in 8 ways, for example, as 256 + 14992384 = 16^2 + 3872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14992640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14992643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282854 + ... + 282906.

It is an arithmetic number, because the mean of its divisors is an integer number (289737).

Almost surely, 2^14992640 is an apocalyptic number.

14992640 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 14992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20861064).

14992640 is an abundant number, since it is smaller than the sum of its proper divisors (26729488).

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

14992640 is a wasteful number, since it uses less digits than its factorization.

14992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 14992640 is about 3872.0330577101. The cubic root of 14992640 is about 246.5808645654.

The spelling of 14992640 in words is "fourteen million, nine hundred ninety-two thousand, six hundred forty".