318906672 has 160 divisors (see below), whose sum is σ = 1029648384. Its totient is φ = 82944000.

The previous prime is 318906617. The next prime is 318906677. The reversal of 318906672 is 276609813.

It is a happy number.

It is a super-2 number, since 2×318906672² = 203402930892231168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (318906677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176172 + ... + 177972.

Almost surely, 2^318906672 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 318906672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514824192).

318906672 is an abundant number, since it is smaller than the sum of its proper divisors (710741712).

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

318906672 is a wasteful number, since it uses less digits than its factorization.

318906672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 318906672 is about 17857.9582259563. The cubic root of 318906672 is about 683.2105045671.

The spelling of 318906672 in words is "three hundred eighteen million, nine hundred six thousand, six hundred seventy-two".