33153440 has 48 divisors (see below), whose sum is σ = 79085160. Its totient is φ = 13132800.

The previous prime is 33153433. The next prime is 33153469. The reversal of 33153440 is 4435133.

It can be written as a sum of positive squares in 4 ways, for example, as 22316176 + 10837264 = 4724^2 + 3292^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16490 + ... + 18390.

Almost surely, 2^33153440 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 33153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39542580).

33153440 is an abundant number, since it is smaller than the sum of its proper divisors (45931720).

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

33153440 is a wasteful number, since it uses less digits than its factorization.

33153440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 33153440 is about 5757.9023958383. The cubic root of 33153440 is about 321.2497998959.

Adding to 33153440 its reverse (4435133), we get a palindrome (37588573).

The spelling of 33153440 in words is "thirty-three million, one hundred fifty-three thousand, four hundred forty".