35975664 has 120 divisors (see below), whose sum is σ = 110131840. Its totient is φ = 11337408.

The previous prime is 35975627. The next prime is 35975677. The reversal of 35975664 is 46657953.

35975664 is a `hidden beast` number, since 3 + 597 + 56 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73629 + ... + 74115.

Almost surely, 2^35975664 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 35975664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55065920).

35975664 is an abundant number, since it is smaller than the sum of its proper divisors (74156176).

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

35975664 is a wasteful number, since it uses less digits than its factorization.

35975664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 511 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 35975664 is about 5997.9716571521. The cubic root of 35975664 is about 330.1183046902.

It can be divided in two parts, 3597 and 5664, that added together give a cube (9261 = 21³).

The spelling of 35975664 in words is "thirty-five million, nine hundred seventy-five thousand, six hundred sixty-four".