847668240 has 200 divisors, whose sum is σ = 2961339480. Its totient is φ = 224722944.

The previous prime is 847668233. The next prime is 847668259. The reversal of 847668240 is 42866748.

It can be written as a sum of positive squares in 4 ways, for example, as 454201344 + 393466896 = 21312^2 + 19836^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1665106 + ... + 1665614.

Almost surely, 2^847668240 is an apocalyptic number.

847668240 is a gapful number since it is divisible by the number (80) 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 847668240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480669740).

847668240 is an abundant number, since it is smaller than the sum of its proper divisors (2113671240).

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

847668240 is a wasteful number, since it uses less digits than its factorization.

847668240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 847668240 is about 29114.7426572862. The cubic root of 847668240 is about 946.4012469773.

The spelling of 847668240 in words is "eight hundred forty-seven million, six hundred sixty-eight thousand, two hundred forty".