33126240 has 96 divisors (see below), whose sum is σ = 119266560. Its totient is φ = 7570944.

The previous prime is 33126193. The next prime is 33126241. The reversal of 33126240 is 4262133.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33126241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1570 + ... + 8289.

It is an arithmetic number, because the mean of its divisors is an integer number (1242360).

Almost surely, 2^33126240 is an apocalyptic number.

33126240 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 33126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59633280).

33126240 is an abundant number, since it is smaller than the sum of its proper divisors (86140320).

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

33126240 is a wasteful number, since it uses less digits than its factorization.

33126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9884 (or 9876 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 33126240 is about 5755.5399399188. The cubic root of 33126240 is about 321.1619217825.

Adding to 33126240 its reverse (4262133), we get a palindrome (37388373).

The spelling of 33126240 in words is "thirty-three million, one hundred twenty-six thousand, two hundred forty".