11680735 has 24 divisors (see below), whose sum is σ = 15800400. Its totient is φ = 8279040.

The previous prime is 11680733. The next prime is 11680759. The reversal of 11680735 is 53708611.

It is not a de Polignac number, because 11680735 - 2¹ = 11680733 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11680697 and 11680706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11680733) 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, 25791 + ... + 26239.

It is an arithmetic number, because the mean of its divisors is an integer number (658350).

Almost surely, 2^11680735 is an apocalyptic number.

11680735 is a deficient number, since it is larger than the sum of its proper divisors (4119665).

11680735 is a wasteful number, since it uses less digits than its factorization.

11680735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 11680735 is about 3417.7090279894. The cubic root of 11680735 is about 226.8941979469.

The spelling of 11680735 in words is "eleven million, six hundred eighty thousand, seven hundred thirty-five".