846567456 has 96 divisors (see below), whose sum is σ = 2565053568. Its totient is φ = 239462400.

The previous prime is 846567451. The next prime is 846567473. The reversal of 846567456 is 654765648.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 846567399 and 846567408.

It is not an unprimeable number, because it can be changed into a prime (846567451) 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, 61636 + ... + 74108.

It is an arithmetic number, because the mean of its divisors is an integer number (26719308).

Almost surely, 2^846567456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846567456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282526784).

846567456 is an abundant number, since it is smaller than the sum of its proper divisors (1718486112).

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

846567456 is a wasteful number, since it uses less digits than its factorization.

846567456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12594 (or 12586 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 51.

The square root of 846567456 is about 29095.8322788677. The cubic root of 846567456 is about 945.9914032119.

The spelling of 846567456 in words is "eight hundred forty-six million, five hundred sixty-seven thousand, four hundred fifty-six".