33466880 has 80 divisors (see below), whose sum is σ = 85072680. Its totient is φ = 12582912.

The previous prime is 33466879. The next prime is 33466883. The reversal of 33466880 is 8866433.

It can be written as a sum of positive squares in 4 ways, for example, as 29073664 + 4393216 = 5392^2 + 2096^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33466880² = 2240064113868800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33466883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43136 + ... + 43904.

Almost surely, 2^33466880 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 33466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42536340).

33466880 is an abundant number, since it is smaller than the sum of its proper divisors (51605800).

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

33466880 is an equidigital number, since it uses as much as digits as its factorization.

33466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 33466880 is about 5785.0566116504. The cubic root of 33466880 is about 322.2590151319.

The spelling of 33466880 in words is "thirty-three million, four hundred sixty-six thousand, eight hundred eighty".