312680900 has 144 divisors (see below), whose sum is σ = 817031040. Its totient is φ = 101606400.

The previous prime is 312680899. The next prime is 312680933. The reversal of 312680900 is 9086213.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1481795 + ... + 1482005.

Almost surely, 2^312680900 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 312680900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408515520).

312680900 is an abundant number, since it is smaller than the sum of its proper divisors (504350140).

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

312680900 is a wasteful number, since it uses less digits than its factorization.

312680900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 312680900 is about 17682.7854140687. The cubic root of 312680900 is about 678.7353223958.

The spelling of 312680900 in words is "three hundred twelve million, six hundred eighty thousand, nine hundred".