11975985 has 128 divisors (see below), whose sum is σ = 27648000. Its totient is φ = 4790016.

The previous prime is 11975983. The next prime is 11975993. The reversal of 11975985 is 58957911.

It is not a de Polignac number, because 11975985 - 2¹ = 11975983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11975985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11975983) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 412951 + ... + 412979.

It is an arithmetic number, because the mean of its divisors is an integer number (216000).

Almost surely, 2^11975985 is an apocalyptic number.

11975985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11975985 is an abundant number, since it is smaller than the sum of its proper divisors (15672015).

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

11975985 is a wasteful number, since it uses less digits than its factorization.

11975985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 86 counting only the distinct ones).

The product of its digits is 113400, while the sum is 45.

The square root of 11975985 is about 3460.6336125051. The cubic root of 11975985 is about 228.7900225591.

The spelling of 11975985 in words is "eleven million, nine hundred seventy-five thousand, nine hundred eighty-five".