33122880 has 336 divisors, whose sum is σ = 136940544. Its totient is φ = 7188480.

The previous prime is 33122879. The next prime is 33122891. The reversal of 33122880 is 8822133.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624934 + ... + 624986.

Almost surely, 2^33122880 is an apocalyptic number.

33122880 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 33122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68470272).

33122880 is an abundant number, since it is smaller than the sum of its proper divisors (103817664).

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

33122880 is a wasteful number, since it uses less digits than its factorization.

33122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 33122880 is about 5755.2480398329. The cubic root of 33122880 is about 321.1510629131.

The spelling of 33122880 in words is "thirty-three million, one hundred twenty-two thousand, eight hundred eighty".