846976 has 32 divisors (see below), whose sum is σ = 1820700. Its totient is φ = 390144.

The previous prime is 846973. The next prime is 846977. The reversal of 846976 is 679648.

It can be written as a sum of positive squares in 2 ways, for example, as 846400 + 576 = 920^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (846973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1410 + ... + 1918.

2⁸⁴⁶⁹⁷⁶ 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 846976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910350).

846976 is an abundant number, since it is smaller than the sum of its proper divisors (973724).

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

846976 is a wasteful number, since it uses less digits than its factorization.

846976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 524 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 846976 is about 920.3129902376. The cubic root of 846976 is about 94.6143553701.

Subtracting from 846976 its product of digits (72576), we obtain a square (774400 = 880²).

The spelling of 846976 in words is "eight hundred forty-six thousand, nine hundred seventy-six".