33285960 has 48 divisors (see below), whose sum is σ = 108180540. Its totient is φ = 8876160.

The previous prime is 33285953. The next prime is 33285979. The reversal of 33285960 is 6958233.

It can be written as a sum of positive squares in 2 ways, for example, as 33246756 + 39204 = 5766^2 + 198^2 .

It is a super-2 number, since 2×33285960² = 2215910266243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45871 + ... + 46590.

Almost surely, 2^33285960 is an apocalyptic number.

33285960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33285960 is an abundant number, since it is smaller than the sum of its proper divisors (74894580).

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

33285960 is a wasteful number, since it uses less digits than its factorization.

33285960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92478 (or 92471 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 33285960 is about 5769.3985821747. The cubic root of 33285960 is about 321.6772610839.

The spelling of 33285960 in words is "thirty-three million, two hundred eighty-five thousand, nine hundred sixty".