312399936 has 112 divisors (see below), whose sum is σ = 922812480. Its totient is φ = 103633920.

The previous prime is 312399911. The next prime is 312399937. The reversal of 312399936 is 639993213.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 312399891 and 312399900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312399937) 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, 599356 + ... + 599876.

Almost surely, 2^312399936 is an apocalyptic number.

312399936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312399936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461406240).

312399936 is an abundant number, since it is smaller than the sum of its proper divisors (610412544).

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

312399936 is a wasteful number, since it uses less digits than its factorization.

312399936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 873 counting only the distinct ones).

The product of its digits is 236196, while the sum is 45.

The square root of 312399936 is about 17674.8390657454. The cubic root of 312399936 is about 678.5319656206.

The spelling of 312399936 in words is "three hundred twelve million, three hundred ninety-nine thousand, nine hundred thirty-six".