33485240 has 64 divisors (see below), whose sum is σ = 83280960. Its totient is φ = 12052480.

The previous prime is 33485219. The next prime is 33485251. The reversal of 33485240 is 4258433.

33485240 = 75² + 76² + ... + 465².

It is a super-2 number, since 2×33485240² = 2242522595715200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14570 + ... + 16710.

It is an arithmetic number, because the mean of its divisors is an integer number (1301265).

Almost surely, 2^33485240 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 33485240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41640480).

33485240 is an abundant number, since it is smaller than the sum of its proper divisors (49795720).

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

33485240 is a wasteful number, since it uses less digits than its factorization.

33485240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 33485240 is about 5786.6432411200. The cubic root of 33485240 is about 322.3179350141.

The spelling of 33485240 in words is "thirty-three million, four hundred eighty-five thousand, two hundred forty".