33485688 has 24 divisors (see below), whose sum is σ = 90690600. Its totient is φ = 11161872.

The previous prime is 33485687. The next prime is 33485689. The reversal of 33485688 is 88658433.

It is an interprime number because it is at equal distance from previous prime (33485687) and next prime (33485689).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33485688² = 2242582601666688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33485687) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 232468 + ... + 232611.

It is an arithmetic number, because the mean of its divisors is an integer number (3778775).

Almost surely, 2^33485688 is an apocalyptic number.

It is an amenable number.

33485688 is an abundant number, since it is smaller than the sum of its proper divisors (57204912).

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

33485688 is a wasteful number, since it uses less digits than its factorization.

33485688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465091 (or 465084 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 33485688 is about 5786.6819508247. The cubic root of 33485688 is about 322.3193724413.

The spelling of 33485688 in words is "thirty-three million, four hundred eighty-five thousand, six hundred eighty-eight".