312630990 has 64 divisors (see below), whose sum is σ = 861926400. Its totient is φ = 71089920.

The previous prime is 312630977. The next prime is 312631013. The reversal of 312630990 is 99036213.

It is a Curzon number.

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, 38050 + ... + 45530.

It is an arithmetic number, because the mean of its divisors is an integer number (13467600).

Almost surely, 2^312630990 is an apocalyptic number.

312630990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312630990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430963200).

312630990 is an abundant number, since it is smaller than the sum of its proper divisors (549295410).

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

312630990 is a wasteful number, since it uses less digits than its factorization.

312630990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7697.

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 312630990 is about 17681.3740981859. The cubic root of 312630990 is about 678.6992073208.

The spelling of 312630990 in words is "three hundred twelve million, six hundred thirty thousand, nine hundred ninety".