312240 has 40 divisors (see below), whose sum is σ = 968688. Its totient is φ = 83200.

The previous prime is 312233. The next prime is 312241. The reversal of 312240 is 42213.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (312241) by changing a digit.

312240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411 + ... + 890.

2³¹²²⁴⁰ is an apocalyptic number.

312240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312240 is an abundant number, since it is smaller than the sum of its proper divisors (656448).

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

312240 is a wasteful number, since it uses less digits than its factorization.

312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 312240 is about 558.7843949145. The cubic root of 312240 is about 67.8416152309.

Adding to 312240 its reverse (42213), we get a palindrome (354453).

The spelling of 312240 in words is "three hundred twelve thousand, two hundred forty", and thus it is an iban number.