946656 has 72 divisors (see below), whose sum is σ = 2850120. Its totient is φ = 297216.

The previous prime is 946607. The next prime is 946661. The reversal of 946656 is 656649.

It is a happy number.

946656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 946656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5386 + ... + 5558.

It is an arithmetic number, because the mean of its divisors is an integer number (39585).

946656 is a Friedman number, since it can be written as 6^6+9*(6+4)^5, using all its digits and the basic arithmetic operations.

2⁹⁴⁶⁶⁵⁶ is an apocalyptic number.

946656 is a gapful number since it is divisible by the number (96) 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 946656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425060).

946656 is an abundant number, since it is smaller than the sum of its proper divisors (1903464).

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

946656 is a wasteful number, since it uses less digits than its factorization.

946656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 946656 is about 972.9624864300. The cubic root of 946656 is about 98.1892773981.

It can be divided in two parts, 9 and 46656, that multiplied together give a square (419904 = 648²).

The spelling of 946656 in words is "nine hundred forty-six thousand, six hundred fifty-six".