846800640 has 216 divisors, whose sum is σ = 3348709728. Its totient is φ = 193536000.

The previous prime is 846800623. The next prime is 846800641. The reversal of 846800640 is 46008648.

846800640 is a `hidden beast` number, since 8 + 4 + 6 + 8 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 846800595 and 846800604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846800641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75390 + ... + 85890.

Almost surely, 2^846800640 is an apocalyptic number.

846800640 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 846800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674354864).

846800640 is an abundant number, since it is smaller than the sum of its proper divisors (2501909088).

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

846800640 is a wasteful number, since it uses less digits than its factorization.

846800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10535 (or 10518 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 846800640 is about 29099.8391748133. The cubic root of 846800640 is about 946.0782518961.

The spelling of 846800640 in words is "eight hundred forty-six million, eight hundred thousand, six hundred forty".