312574640 has 80 divisors (see below), whose sum is σ = 834613248. Its totient is φ = 106645248.

The previous prime is 312574627. The next prime is 312574649. The reversal of 312574640 is 46475213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×312574640² = 195405811142259200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312574597 and 312574606.

It is not an unprimeable number, because it can be changed into a prime (312574649) 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, 123629 + ... + 126131.

Almost surely, 2^312574640 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 312574640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417306624).

312574640 is an abundant number, since it is smaller than the sum of its proper divisors (522038608).

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

312574640 is a wasteful number, since it uses less digits than its factorization.

312574640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 312574640 is about 17679.7805416244. The cubic root of 312574640 is about 678.6584276161.

The spelling of 312574640 in words is "three hundred twelve million, five hundred seventy-four thousand, six hundred forty".