11642580 has 72 divisors (see below), whose sum is σ = 35852544. Its totient is φ = 3057600.

The previous prime is 11642557. The next prime is 11642591. The reversal of 11642580 is 8524611.

11642580 is a `hidden beast` number, since 11 + 642 + 5 + 8 + 0 = 666.

11642580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12325 + ... + 13235.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 2^11642580 is an apocalyptic number.

11642580 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 11642580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272).

11642580 is an abundant number, since it is smaller than the sum of its proper divisors (24209964).

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

11642580 is a wasteful number, since it uses less digits than its factorization.

11642580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11642580 is about 3412.1225065932. The cubic root of 11642580 is about 226.6468792800.

The spelling of 11642580 in words is "eleven million, six hundred forty-two thousand, five hundred eighty".