33120468 has 48 divisors (see below), whose sum is σ = 86560320. Its totient is φ = 10951200.

The previous prime is 33120467. The next prime is 33120469. The reversal of 33120468 is 86402133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33120467) and next prime (33120469).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33120467) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12978 + ... + 15318.

It is an arithmetic number, because the mean of its divisors is an integer number (1803340).

Almost surely, 2^33120468 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 33120468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43280160).

33120468 is an abundant number, since it is smaller than the sum of its proper divisors (53439852).

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

33120468 is a wasteful number, since it uses less digits than its factorization.

33120468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 33120468 is about 5755.0384881424. The cubic root of 33120468 is about 321.1432673433.

The spelling of 33120468 in words is "thirty-three million, one hundred twenty thousand, four hundred sixty-eight".