312164064 has 192 divisors, whose sum is σ = 984674880. Its totient is φ = 95846400.

The previous prime is 312164063. The next prime is 312164077. The reversal of 312164064 is 460461213.

312164064 is a `hidden beast` number, since 3 + 12 + 1 + 640 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312164063) 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, 778264 + ... + 778664.

It is an arithmetic number, because the mean of its divisors is an integer number (5128515).

Almost surely, 2^312164064 is an apocalyptic number.

312164064 is a gapful number since it is divisible by the number (34) 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 312164064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492337440).

312164064 is an abundant number, since it is smaller than the sum of its proper divisors (672510816).

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

312164064 is a wasteful number, since it uses less digits than its factorization.

312164064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 476 counting only the distinct ones).

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

The square root of 312164064 is about 17668.1652697726. The cubic root of 312164064 is about 678.3611514704.

The spelling of 312164064 in words is "three hundred twelve million, one hundred sixty-four thousand, sixty-four".