33906564 has 54 divisors (see below), whose sum is σ = 90491310. Its totient is φ = 10703232.

The previous prime is 33906557. The next prime is 33906569. The reversal of 33906564 is 46560933.

33906564 is a `hidden beast` number, since 3 + 3 + 90 + 6 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28708164 + 5198400 = 5358^2 + 2280^2 .

It is a super-2 number, since 2×33906564² = 2299310164572192, which contains 22 as substring.

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 (33906569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11692 + ... + 14300.

It is an arithmetic number, because the mean of its divisors is an integer number (1675765).

Almost surely, 2^33906564 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 33906564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45245655).

33906564 is an abundant number, since it is smaller than the sum of its proper divisors (56584746).

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

33906564 is a wasteful number, since it uses less digits than its factorization.

33906564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 33906564 is about 5822.9343118397. The cubic root of 33906564 is about 323.6641467217.

The spelling of 33906564 in words is "thirty-three million, nine hundred six thousand, five hundred sixty-four".