35640864 has 192 divisors, whose sum is σ = 121927680. Its totient is φ = 9918720.

The previous prime is 35640853. The next prime is 35640877. The reversal of 35640864 is 46804653.

35640864 is a `hidden beast` number, since 3 + 5 + 640 + 8 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429367 + ... + 429449.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^35640864 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 35640864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

35640864 is an abundant number, since it is smaller than the sum of its proper divisors (86286816).

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

35640864 is a wasteful number, since it uses less digits than its factorization.

35640864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 35640864 is about 5969.9969849239. The cubic root of 35640864 is about 329.0910524246.

Adding to 35640864 its sum of digits (36), we get a square (35640900 = 5970²).

The spelling of 35640864 in words is "thirty-five million, six hundred forty thousand, eight hundred sixty-four".