312615840 has 96 divisors (see below), whose sum is σ = 998718336. Its totient is φ = 82181120.

The previous prime is 312615827. The next prime is 312615841. The reversal of 312615840 is 48516213.

312615840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 312615798 and 312615807.

It is not an unprimeable number, because it can be changed into a prime (312615841) 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, 29494 + ... + 38666.

It is an arithmetic number, because the mean of its divisors is an integer number (10403316).

Almost surely, 2^312615840 is an apocalyptic number.

312615840 is a gapful number since it is divisible by the number (30) 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 312615840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499359168).

312615840 is an abundant number, since it is smaller than the sum of its proper divisors (686102496).

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

312615840 is a wasteful number, since it uses less digits than its factorization.

312615840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9262 (or 9254 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 312615840 is about 17680.9456760661. The cubic root of 312615840 is about 678.6882439599.

The spelling of 312615840 in words is "three hundred twelve million, six hundred fifteen thousand, eight hundred forty".