846820640 has 48 divisors (see below), whose sum is σ = 2014097400. Its totient is φ = 336445440.

The previous prime is 846820631. The next prime is 846820651. The reversal of 846820640 is 46028648.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 665433616 + 181387024 = 25796^2 + 13468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 846820594 and 846820603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6080 + ... + 41600.

Almost surely, 2^846820640 is an apocalyptic number.

846820640 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 846820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007048700).

846820640 is an abundant number, since it is smaller than the sum of its proper divisors (1167276760).

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

846820640 is a wasteful number, since it uses less digits than its factorization.

846820640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35685 (or 35677 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 846820640 is about 29100.1828172952. The cubic root of 846820640 is about 946.0857000939.

The spelling of 846820640 in words is "eight hundred forty-six million, eight hundred twenty thousand, six hundred forty".