33661656 has 160 divisors (see below), whose sum is σ = 110990880. Its totient is φ = 9331200.

The previous prime is 33661637. The next prime is 33661699. The reversal of 33661656 is 65616633.

It is a happy number.

33661656 is a `hidden beast` number, since 3 + 36 + 616 + 5 + 6 = 666.

It is a super-2 number, since 2×33661656² = 2266214169324672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 33661656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185886 + ... + 186066.

It is an arithmetic number, because the mean of its divisors is an integer number (693693).

Almost surely, 2^33661656 is an apocalyptic number.

33661656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33661656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55495440).

33661656 is an abundant number, since it is smaller than the sum of its proper divisors (77329224).

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

33661656 is a wasteful number, since it uses less digits than its factorization.

33661656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

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

The square root of 33661656 is about 5801.8665961913. The cubic root of 33661656 is about 322.8829847038.

The spelling of 33661656 in words is "thirty-three million, six hundred sixty-one thousand, six hundred fifty-six".