35642664 has 24 divisors (see below), whose sum is σ = 96532410. Its totient is φ = 11880864.

The previous prime is 35642647. The next prime is 35642669. The reversal of 35642664 is 46624653.

35642664 is a `hidden beast` number, since 3 + 5 + 642 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35640900 + 1764 = 5970^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (35642669) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 247447 + ... + 247590.

Almost surely, 2^35642664 is an apocalyptic number.

It is an amenable number.

35642664 is an abundant number, since it is smaller than the sum of its proper divisors (60889746).

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

35642664 is a wasteful number, since it uses less digits than its factorization.

35642664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495049 (or 495042 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 35642664 is about 5970.1477368655. The cubic root of 35642664 is about 329.0965924505.

The spelling of 35642664 in words is "thirty-five million, six hundred forty-two thousand, six hundred sixty-four".