33664140 has 96 divisors (see below), whose sum is σ = 108165120. Its totient is φ = 8683200.

The previous prime is 33664139. The next prime is 33664151. The reversal of 33664140 is 4146633.

It is a super-2 number, since 2×33664140² = 2266548643879200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 15735 + ... + 17745.

It is an arithmetic number, because the mean of its divisors is an integer number (1126720).

Almost surely, 2^33664140 is an apocalyptic number.

33664140 is a gapful number since it is divisible by the number (30) 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 33664140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54082560).

33664140 is an abundant number, since it is smaller than the sum of its proper divisors (74500980).

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

33664140 is a wasteful number, since it uses less digits than its factorization.

33664140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 33664140 is about 5802.0806612801. The cubic root of 33664140 is about 322.8909266938.

The spelling of 33664140 in words is "thirty-three million, six hundred sixty-four thousand, one hundred forty".