12357840 has 160 divisors (see below), whose sum is σ = 43425792. Its totient is φ = 2880000.

The previous prime is 12357823. The next prime is 12357853. The reversal of 12357840 is 4875321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12357798 and 12357807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81765 + ... + 81915.

Almost surely, 2^12357840 is an apocalyptic number.

12357840 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 12357840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21712896).

12357840 is an abundant number, since it is smaller than the sum of its proper divisors (31067952).

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

12357840 is a wasteful number, since it uses less digits than its factorization.

12357840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 12357840 is about 3515.3719575601. The cubic root of 12357840 is about 231.1962875008.

The spelling of 12357840 in words is "twelve million, three hundred fifty-seven thousand, eight hundred forty".