35664912 has 90 divisors (see below), whose sum is σ = 106152618. Its totient is φ = 11175936.

The previous prime is 35664907. The next prime is 35664913. The reversal of 35664912 is 21946653.

It is a happy number.

35664912 is a `hidden beast` number, since 3 + 5 + 6 + 649 + 1 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 23386896 + 12278016 = 4836^2 + 3504^2 .

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 (35664913) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41188 + ... + 42044.

It is a vampire number, since it can be written as 5142 ⋅ 6936 (with its own digits).

Almost surely, 2^35664912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35664912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53076309).

35664912 is an abundant number, since it is smaller than the sum of its proper divisors (70487706).

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

35664912 is a wasteful number, since it uses less digits than its factorization.

35664912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 879 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 35664912 is about 5972.0107166682. The cubic root of 35664912 is about 329.1650517751.

The spelling of 35664912 in words is "thirty-five million, six hundred sixty-four thousand, nine hundred twelve".