33561664 has 28 divisors (see below), whose sum is σ = 68403724. Its totient is φ = 16326144.

The previous prime is 33561653. The next prime is 33561673. The reversal of 33561664 is 46616533.

It can be written as a sum of positive squares in 2 ways, for example, as 29593600 + 3968064 = 5440^2 + 1992^2 .

It is a super-2 number, since 2×33561664² = 2252770580897792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4719 + ... + 9454.

Almost surely, 2^33561664 is an apocalyptic number.

It is an amenable number.

33561664 is an abundant number, since it is smaller than the sum of its proper divisors (34842060).

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

33561664 is a wasteful number, since it uses less digits than its factorization.

33561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14222 (or 14212 counting only the distinct ones).

The product of its digits is 38880, while the sum is 34.

The square root of 33561664 is about 5793.2429605533. The cubic root of 33561664 is about 322.5629594846.

It can be divided in two parts, 33561 and 664, that added together give a square (34225 = 185²).

The spelling of 33561664 in words is "thirty-three million, five hundred sixty-one thousand, six hundred sixty-four".