11746680 has 96 divisors (see below), whose sum is σ = 38782800. Its totient is φ = 2844160.

The previous prime is 11746673. The next prime is 11746681. The reversal of 11746680 is 8664711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11746681) 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, 14116 + ... + 14924.

Almost surely, 2^11746680 is an apocalyptic number.

11746680 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 11746680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19391400).

11746680 is an abundant number, since it is smaller than the sum of its proper divisors (27036120).

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

11746680 is a wasteful number, since it uses less digits than its factorization.

11746680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 11746680 is about 3427.3429942158. The cubic root of 11746680 is about 227.3203831217.

The spelling of 11746680 in words is "eleven million, seven hundred forty-six thousand, six hundred eighty".