12581940 has 96 divisors (see below), whose sum is σ = 41690880. Its totient is φ = 2774016.

The previous prime is 12581923. The next prime is 12581951. The reversal of 12581940 is 4918521.

It is a happy number.

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 = 12581898 and 12581907.

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, 11664 + ... + 12696.

It is an arithmetic number, because the mean of its divisors is an integer number (434280).

Almost surely, 2^12581940 is an apocalyptic number.

12581940 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 12581940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20845440).

12581940 is an abundant number, since it is smaller than the sum of its proper divisors (29108940).

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

12581940 is a wasteful number, since it uses less digits than its factorization.

12581940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 12581940 is about 3547.1030433299. The cubic root of 12581940 is about 232.5854466834.

The spelling of 12581940 in words is "twelve million, five hundred eighty-one thousand, nine hundred forty".