333906880 has 56 divisors (see below), whose sum is σ = 798198048. Its totient is φ = 133045248.

The previous prime is 333906871. The next prime is 333906887. The reversal of 333906880 is 88609333.

333906880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×333906880² = 222987609022668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333906887) 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 7 ways as a sum of consecutive naturals, for example, 86757 + ... + 90523.

Almost surely, 2^333906880 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 333906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399099024).

333906880 is an abundant number, since it is smaller than the sum of its proper divisors (464291168).

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

333906880 is a wasteful number, since it uses less digits than its factorization.

333906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 333906880 is about 18273.1190550491. The cubic root of 333906880 is about 693.7587215309.

The spelling of 333906880 in words is "three hundred thirty-three million, nine hundred six thousand, eight hundred eighty".