312611940 has 96 divisors (see below), whose sum is σ = 1023792000. Its totient is φ = 78973056.

The previous prime is 312611939. The next prime is 312611969. The reversal of 312611940 is 49116213.

312611940 is a `hidden beast` number, since 3 + 1 + 2 + 611 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4975 + ... + 25494.

It is an arithmetic number, because the mean of its divisors is an integer number (10664500).

Almost surely, 2^312611940 is an apocalyptic number.

312611940 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 312611940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511896000).

312611940 is an abundant number, since it is smaller than the sum of its proper divisors (711180060).

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

312611940 is a wasteful number, since it uses less digits than its factorization.

312611940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30506 (or 30498 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 312611940 is about 17680.8353875036. The cubic root of 312611940 is about 678.6854216513.

The spelling of 312611940 in words is "three hundred twelve million, six hundred eleven thousand, nine hundred forty".