13612140 has 72 divisors (see below), whose sum is σ = 42194880. Its totient is φ = 3550464.

The previous prime is 13612133. The next prime is 13612141. The reversal of 13612140 is 4121631.

It is a happy number.

13612140 is a `hidden beast` number, since 13 + 612 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13612141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7656 + ... + 9264.

It is an arithmetic number, because the mean of its divisors is an integer number (586040).

Almost surely, 2^13612140 is an apocalyptic number.

13612140 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 13612140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097440).

13612140 is an abundant number, since it is smaller than the sum of its proper divisors (28582740).

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

13612140 is a wasteful number, since it uses less digits than its factorization.

13612140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13612140 is about 3689.4633756144. The cubic root of 13612140 is about 238.7676412136.

Adding to 13612140 its reverse (4121631), we get a palindrome (17733771).

It can be divided in two parts, 136121 and 40, that added together give a square (136161 = 369²).

The spelling of 13612140 in words is "thirteen million, six hundred twelve thousand, one hundred forty".