11695680 has 168 divisors, whose sum is σ = 41842944. Its totient is φ = 2995200.

The previous prime is 11695679. The next prime is 11695687. The reversal of 11695680 is 8659611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11695687) 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, 89215 + ... + 89345.

Almost surely, 2^11695680 is an apocalyptic number.

11695680 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 11695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20921472).

11695680 is an abundant number, since it is smaller than the sum of its proper divisors (30147264).

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

11695680 is a wasteful number, since it uses less digits than its factorization.

11695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 11695680 is about 3419.8947352221. The cubic root of 11695680 is about 226.9909238416.

The spelling of 11695680 in words is "eleven million, six hundred ninety-five thousand, six hundred eighty".