846666648 has 64 divisors (see below), whose sum is σ = 2401920000. Its totient is φ = 276214176.

The previous prime is 846666631. The next prime is 846666659.

846666648 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 = 846666594 and 846666603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31548 + ... + 51851.

It is an arithmetic number, because the mean of its divisors is an integer number (37530000).

Almost surely, 2^846666648 is an apocalyptic number.

It is an amenable number.

846666648 is an abundant number, since it is smaller than the sum of its proper divisors (1555253352).

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

846666648 is a wasteful number, since it uses less digits than its factorization.

846666648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83461 (or 83451 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 846666648 is about 29097.5368029667. The cubic root of 846666648 is about 946.0283489248.

The spelling of 846666648 in words is "eight hundred forty-six million, six hundred sixty-six thousand, six hundred forty-eight".