313524640 has 192 divisors, whose sum is σ = 887023872. Its totient is φ = 103219200.

The previous prime is 313524623. The next prime is 313524641. The reversal of 313524640 is 46425313.

It is a junction number, because it is equal to n+sod(n) for n = 313524599 and 313524608.

It is not an unprimeable number, because it can be changed into a prime (313524641) 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, 1624384 + ... + 1624576.

It is an arithmetic number, because the mean of its divisors is an integer number (4619916).

Almost surely, 2^313524640 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 313524640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443511936).

313524640 is an abundant number, since it is smaller than the sum of its proper divisors (573499232).

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

313524640 is a wasteful number, since it uses less digits than its factorization.

313524640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 313524640 is about 17706.6270079877. The cubic root of 313524640 is about 679.3452752343.

Adding to 313524640 its reverse (46425313), we get a palindrome (359949953).

The spelling of 313524640 in words is "three hundred thirteen million, five hundred twenty-four thousand, six hundred forty".