846282648 has 64 divisors (see below), whose sum is σ = 2287296000. Its totient is φ = 260019072.

The previous prime is 846282643. The next prime is 846282653.

846282648 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (846282643) and next prime (846282653).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 846282597 and 846282606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846282643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8208 + ... + 41951.

It is an arithmetic number, because the mean of its divisors is an integer number (35739000).

Almost surely, 2^846282648 is an apocalyptic number.

It is an amenable number.

846282648 is an abundant number, since it is smaller than the sum of its proper divisors (1441013352).

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

846282648 is a wasteful number, since it uses less digits than its factorization.

846282648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50224 (or 50220 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 846282648 is about 29090.9375579406. The cubic root of 846282648 is about 945.8853056854.

The spelling of 846282648 in words is "eight hundred forty-six million, two hundred eighty-two thousand, six hundred forty-eight".