312152064 has 208 divisors, whose sum is σ = 1006510080. Its totient is φ = 84049920.

The previous prime is 312152059. The next prime is 312152069. The reversal of 312152064 is 460251213.

It is an interprime number because it is at equal distance from previous prime (312152059) and next prime (312152069).

It is a super-2 number, since 2×312152064² = 194877822118920192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (312152069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1634209 + ... + 1634399.

Almost surely, 2^312152064 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 312152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503255040).

312152064 is an abundant number, since it is smaller than the sum of its proper divisors (694358016).

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

312152064 is a wasteful number, since it uses less digits than its factorization.

312152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 312152064 is about 17667.8256726740. The cubic root of 312152064 is about 678.3524589920.

The spelling of 312152064 in words is "three hundred twelve million, one hundred fifty-two thousand, sixty-four".