312836040 has 256 divisors, whose sum is σ = 1205280000. Its totient is φ = 71331840.

The previous prime is 312836039. The next prime is 312836053. The reversal of 312836040 is 40638213.

It is a happy number.

312836040 is a `hidden beast` number, since 31 + 28 + 3 + 604 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 312835995 and 312836013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201186 + ... + 202734.

It is an arithmetic number, because the mean of its divisors is an integer number (4708125).

Almost surely, 2^312836040 is an apocalyptic number.

312836040 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 312836040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602640000).

312836040 is an abundant number, since it is smaller than the sum of its proper divisors (892443960).

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

312836040 is a wasteful number, since it uses less digits than its factorization.

312836040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 312836040 is about 17687.1716223934. The cubic root of 312836040 is about 678.8475577851.

The spelling of 312836040 in words is "three hundred twelve million, eight hundred thirty-six thousand, forty".