333678960 has 160 divisors (see below), whose sum is σ = 1155908160. Its totient is φ = 88473600.

The previous prime is 333678929. The next prime is 333678973. The reversal of 333678960 is 69876333.

It is a happy number.

It is a super-2 number, since 2×333678960² = 222683296693363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520240 + ... + 520880.

It is an arithmetic number, because the mean of its divisors is an integer number (7224426).

Almost surely, 2^333678960 is an apocalyptic number.

333678960 is a gapful number since it is divisible by the number (30) 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 333678960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577954080).

333678960 is an abundant number, since it is smaller than the sum of its proper divisors (822229200).

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

333678960 is a wasteful number, since it uses less digits than its factorization.

333678960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 333678960 is about 18266.8815072524. The cubic root of 333678960 is about 693.6008357170.

The spelling of 333678960 in words is "three hundred thirty-three million, six hundred seventy-eight thousand, nine hundred sixty".