312063840 has 360 divisors, whose sum is σ = 1216630800. Its totient is φ = 75271680.

The previous prime is 312063769. The next prime is 312063853. The reversal of 312063840 is 48360213.

It is a happy number.

312063840 is a `hidden beast` number, since 3 + 1 + 20 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1568061 + ... + 1568259.

It is an arithmetic number, because the mean of its divisors is an integer number (3379530).

Almost surely, 2^312063840 is an apocalyptic number.

312063840 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 312063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608315400).

312063840 is an abundant number, since it is smaller than the sum of its proper divisors (904566960).

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

312063840 is a wasteful number, since it uses less digits than its factorization.

312063840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 312063840 is about 17665.3287543708. The cubic root of 312063840 is about 678.2885450503.

The spelling of 312063840 in words is "three hundred twelve million, sixty-three thousand, eight hundred forty".