946016 has 48 divisors (see below), whose sum is σ = 2068416. Its totient is φ = 423936.

The previous prime is 946003. The next prime is 946021. The reversal of 946016 is 610649.

It is a congruent number.

It is an unprimeable number.

946016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20105 + ... + 20151.

It is an arithmetic number, because the mean of its divisors is an integer number (43092).

2⁹⁴⁶⁰¹⁶ 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 946016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034208).

946016 is an abundant number, since it is smaller than the sum of its proper divisors (1122400).

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

946016 is a wasteful number, since it uses less digits than its factorization.

946016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 946016 is about 972.6335383895. The cubic root of 946016 is about 98.1671449993.

It can be divided in two parts, 94 and 6016, that multiplied together give a square (565504 = 752²).

The spelling of 946016 in words is "nine hundred forty-six thousand, sixteen".