33126912 has 240 divisors, whose sum is σ = 119159040. Its totient is φ = 8626176.

The previous prime is 33126901. The next prime is 33126943. The reversal of 33126912 is 21962133.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419289 + ... + 419367.

It is an arithmetic number, because the mean of its divisors is an integer number (496496).

Almost surely, 2^33126912 is an apocalyptic number.

33126912 is a gapful number since it is divisible by the number (32) 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 33126912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59579520).

33126912 is an abundant number, since it is smaller than the sum of its proper divisors (86032128).

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

33126912 is a wasteful number, since it uses less digits than its factorization.

33126912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 33126912 is about 5755.5983181595. The cubic root of 33126912 is about 321.1640934683.

The spelling of 33126912 in words is "thirty-three million, one hundred twenty-six thousand, nine hundred twelve".