312584140 has 72 divisors (see below), whose sum is σ = 741239856. Its totient is φ = 110563200.

The previous prime is 312584101. The next prime is 312584141. The reversal of 312584140 is 41485213.

It is a junction number, because it is equal to n+sod(n) for n = 312584099 and 312584108.

It is not an unprimeable number, because it can be changed into a prime (312584141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87795 + ... + 91285.

It is an arithmetic number, because the mean of its divisors is an integer number (10294998).

Almost surely, 2^312584140 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 312584140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370619928).

312584140 is an abundant number, since it is smaller than the sum of its proper divisors (428655716).

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

312584140 is a wasteful number, since it uses less digits than its factorization.

312584140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 312584140 is about 17680.0492080763. The cubic root of 312584140 is about 678.6653029763.

The spelling of 312584140 in words is "three hundred twelve million, five hundred eighty-four thousand, one hundred forty".