11704680 has 192 divisors, whose sum is σ = 42653520. Its totient is φ = 2764800.

The previous prime is 11704673. The next prime is 11704711. The reversal of 11704680 is 8640711.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 49284 + 11655396 = 222^2 + 3414^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 191850 + ... + 191910.

Almost surely, 2^11704680 is an apocalyptic number.

11704680 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 11704680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

11704680 is an abundant number, since it is smaller than the sum of its proper divisors (30948840).

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

11704680 is a wasteful number, since it uses less digits than its factorization.

11704680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11704680 is about 3421.2103121556. The cubic root of 11704680 is about 227.0491332124.

It can be divided in two parts, 1170 and 4680, that multiplied together give a square (5475600 = 2340²).

The spelling of 11704680 in words is "eleven million, seven hundred four thousand, six hundred eighty".