33223680 has 264 divisors, whose sum is σ = 132842112. Its totient is φ = 7520256.

The previous prime is 33223679. The next prime is 33223681. The reversal of 33223680 is 8632233.

It is an interprime number because it is at equal distance from previous prime (33223679) and next prime (33223681).

It is a super-2 number, since 2×33223680² = 2207625825484800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33223681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322509 + ... + 322611.

Almost surely, 2^33223680 is an apocalyptic number.

33223680 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 33223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66421056).

33223680 is an abundant number, since it is smaller than the sum of its proper divisors (99618432).

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

33223680 is a wasteful number, since it uses less digits than its factorization.

33223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

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

The square root of 33223680 is about 5763.9986120748. The cubic root of 33223680 is about 321.4765100986.

The spelling of 33223680 in words is "thirty-three million, two hundred twenty-three thousand, six hundred eighty".