33265960 has 192 divisors, whose sum is σ = 100137600. Its totient is φ = 9704448.

The previous prime is 33265949. The next prime is 33265963. The reversal of 33265960 is 6956233.

It is a super-2 number, since 2×33265960² = 2213248189443200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33265963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 899062 + ... + 899098.

It is an arithmetic number, because the mean of its divisors is an integer number (521550).

Almost surely, 2^33265960 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 33265960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50068800).

33265960 is an abundant number, since it is smaller than the sum of its proper divisors (66871640).

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

33265960 is a wasteful number, since it uses less digits than its factorization.

33265960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

The square root of 33265960 is about 5767.6650388177. The cubic root of 33265960 is about 321.6128211599.

It can be divided in two parts, 33265 and 960, that added together give a square (34225 = 185²).

The spelling of 33265960 in words is "thirty-three million, two hundred sixty-five thousand, nine hundred sixty".