946720 has 48 divisors (see below), whose sum is σ = 2296728. Its totient is φ = 368640.

The previous prime is 946717. The next prime is 946727. The reversal of 946720 is 27649.

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 478864 = 684^2 + 692^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (946727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9712 + ... + 9808.

2⁹⁴⁶⁷²⁰ 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 946720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148364).

946720 is an abundant number, since it is smaller than the sum of its proper divisors (1350008).

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

946720 is a wasteful number, since it uses less digits than its factorization.

946720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 946720 is about 972.9953751175. The cubic root of 946720 is about 98.1914900893.

The spelling of 946720 in words is "nine hundred forty-six thousand, seven hundred twenty".