11613980 has 48 divisors (see below), whose sum is σ = 28459200. Its totient is φ = 3979584.

The previous prime is 11613977. The next prime is 11613983. The reversal of 11613980 is 8931611.

It is a happy number.

11613980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11613977) and next prime (11613983).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11613983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6014 + ... + 7706.

It is an arithmetic number, because the mean of its divisors is an integer number (592900).

Almost surely, 2^11613980 is an apocalyptic number.

11613980 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 11613980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14229600).

11613980 is an abundant number, since it is smaller than the sum of its proper divisors (16845220).

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

11613980 is a wasteful number, since it uses less digits than its factorization.

11613980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 11613980 is about 3407.9289898705. The cubic root of 11613980 is about 226.4611410741.

The spelling of 11613980 in words is "eleven million, six hundred thirteen thousand, nine hundred eighty".