11658080 has 72 divisors (see below), whose sum is σ = 32060448. Its totient is φ = 3994368.

The previous prime is 11658061. The next prime is 11658089. The reversal of 11658080 is 8085611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11658089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7097 + ... + 8583.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^11658080 is an apocalyptic number.

11658080 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 11658080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030224).

11658080 is an abundant number, since it is smaller than the sum of its proper divisors (20402368).

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

11658080 is a wasteful number, since it uses less digits than its factorization.

11658080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 11658080 is about 3414.3930646602. The cubic root of 11658080 is about 226.7474145220.

The spelling of 11658080 in words is "eleven million, six hundred fifty-eight thousand, eighty".