33129468 has 18 divisors (see below), whose sum is σ = 83744024. Its totient is φ = 11043144.

The previous prime is 33129431. The next prime is 33129469. The reversal of 33129468 is 86492133.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 920263 = 33129468 / (3 + 3 + 1 + 2 + 9 + 4 + 6 + 8).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33129469) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 460096 + ... + 460167.

Almost surely, 2^33129468 is an apocalyptic number.

It is an amenable number.

33129468 is an abundant number, since it is smaller than the sum of its proper divisors (50614556).

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

33129468 is a wasteful number, since it uses less digits than its factorization.

33129468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920273 (or 920268 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 33129468 is about 5755.8203585588. The cubic root of 33129468 is about 321.1723533620.

The spelling of 33129468 in words is "thirty-three million, one hundred twenty-nine thousand, four hundred sixty-eight".