846295040 has 156 divisors (see below), whose sum is σ = 2147287032. Its totient is φ = 319979520.

The previous prime is 846295039. The next prime is 846295057. The reversal of 846295040 is 40592648.

It is a junction number, because it is equal to n+sod(n) for n = 846294985 and 846295003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19681259 + ... + 19681301.

Almost surely, 2^846295040 is an apocalyptic number.

846295040 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 846295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073643516).

846295040 is an abundant number, since it is smaller than the sum of its proper divisors (1300991992).

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

846295040 is an equidigital number, since it uses as much as digits as its factorization.

846295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 846295040 is about 29091.1505444525. The cubic root of 846295040 is about 945.8899224855.

The spelling of 846295040 in words is "eight hundred forty-six million, two hundred ninety-five thousand, forty".