33249120 has 96 divisors (see below), whose sum is σ = 105833952. Its totient is φ = 8773632.

The previous prime is 33249113. The next prime is 33249133. The reversal of 33249120 is 2194233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33249120² = 2211007961548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53934 + ... + 54546.

It is an arithmetic number, because the mean of its divisors is an integer number (1102437).

Almost surely, 2^33249120 is an apocalyptic number.

33249120 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 33249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52916976).

33249120 is an abundant number, since it is smaller than the sum of its proper divisors (72584832).

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

33249120 is a wasteful number, since it uses less digits than its factorization.

33249120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 33249120 is about 5766.2049911532. The cubic root of 33249120 is about 321.5585427117.

The spelling of 33249120 in words is "thirty-three million, two hundred forty-nine thousand, one hundred twenty".