12357640 has 48 divisors (see below), whose sum is σ = 29564100. Its totient is φ = 4647936.

The previous prime is 12357629. The next prime is 12357649. The reversal of 12357640 is 4675321.

It can be written as a sum of positive squares in 6 ways, for example, as 8678916 + 3678724 = 2946^2 + 1918^2 .

It is a super-2 number, since 2×12357640² = 305422532739200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12357599 and 12357608.

It is not an unprimeable number, because it can be changed into a prime (12357649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11026 + ... + 12094.

Almost surely, 2^12357640 is an apocalyptic number.

12357640 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 12357640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14782050).

12357640 is an abundant number, since it is smaller than the sum of its proper divisors (17206460).

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

12357640 is a wasteful number, since it uses less digits than its factorization.

12357640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 12357640 is about 3515.3435109531. The cubic root of 12357640 is about 231.1950402627.

The spelling of 12357640 in words is "twelve million, three hundred fifty-seven thousand, six hundred forty".