12392640 has 168 divisors, whose sum is σ = 46043088. Its totient is φ = 3041280.

The previous prime is 12392629. The next prime is 12392671. The reversal of 12392640 is 4629321.

12392640 is a `hidden beast` number, since 12 + 3 + 9 + 2 + 640 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37275 + ... + 37605.

It is an arithmetic number, because the mean of its divisors is an integer number (274066).

Almost surely, 2^12392640 is an apocalyptic number.

12392640 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 12392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23021544).

12392640 is an abundant number, since it is smaller than the sum of its proper divisors (33650448).

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

12392640 is a wasteful number, since it uses less digits than its factorization.

12392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12392640 is about 3520.3181674388. The cubic root of 12392640 is about 231.4131023693.

The spelling of 12392640 in words is "twelve million, three hundred ninety-two thousand, six hundred forty".