33120648 has 192 divisors, whose sum is σ = 107827200. Its totient is φ = 9072000.

The previous prime is 33120643. The next prime is 33120683. The reversal of 33120648 is 84602133.

It is a happy number.

33120648 is a `hidden beast` number, since 3 + 3 + 12 + 0 + 648 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33120643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466453 + ... + 466523.

It is an arithmetic number, because the mean of its divisors is an integer number (561600).

Almost surely, 2^33120648 is an apocalyptic number.

33120648 is a gapful number since it is divisible by the number (38) 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 33120648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913600).

33120648 is an abundant number, since it is smaller than the sum of its proper divisors (74706552).

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

33120648 is a wasteful number, since it uses less digits than its factorization.

33120648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

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

The square root of 33120648 is about 5755.0541265917. The cubic root of 33120648 is about 321.1438491153.

The spelling of 33120648 in words is "thirty-three million, one hundred twenty thousand, six hundred forty-eight".