312066040 has 128 divisors (see below), whose sum is σ = 835531200. Its totient is φ = 103403520.

The previous prime is 312066031. The next prime is 312066043. The reversal of 312066040 is 40660213.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312066043) 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, 508774 + ... + 509386.

Almost surely, 2^312066040 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 312066040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417765600).

312066040 is an abundant number, since it is smaller than the sum of its proper divisors (523465160).

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

312066040 is a wasteful number, since it uses less digits than its factorization.

312066040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 312066040 is about 17665.3910231277. The cubic root of 312066040 is about 678.2901389884.

The spelling of 312066040 in words is "three hundred twelve million, sixty-six thousand, forty".