846624960 has 280 divisors, whose sum is σ = 3053730240. Its totient is φ = 222621696.

The previous prime is 846624943. The next prime is 846624997. The reversal of 846624960 is 69426648.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2306697 + ... + 2307063.

Almost surely, 2^846624960 is an apocalyptic number.

846624960 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 846624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526865120).

846624960 is an abundant number, since it is smaller than the sum of its proper divisors (2207105280).

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

846624960 is a wasteful number, since it uses less digits than its factorization.

846624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 846624960 is about 29096.8204448527. The cubic root of 846624960 is about 946.0128218862.

The spelling of 846624960 in words is "eight hundred forty-six million, six hundred twenty-four thousand, nine hundred sixty".