33270480 has 160 divisors (see below), whose sum is σ = 116718720. Its totient is φ = 8709120.

The previous prime is 33270439. The next prime is 33270499. The reversal of 33270480 is 8407233.

It is a super-2 number, since 2×33270480² = 2213849678860800, which contains 22 as substring.

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

It is a congruent number.

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, 157575 + ... + 157785.

It is an arithmetic number, because the mean of its divisors is an integer number (729492).

Almost surely, 2^33270480 is an apocalyptic number.

33270480 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 33270480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58359360).

33270480 is an abundant number, since it is smaller than the sum of its proper divisors (83448240).

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

33270480 is a wasteful number, since it uses less digits than its factorization.

33270480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 33270480 is about 5768.0568651843. The cubic root of 33270480 is about 321.6273868413.

The spelling of 33270480 in words is "thirty-three million, two hundred seventy thousand, four hundred eighty".