946728960 has 208 divisors, whose sum is σ = 3192524160. Its totient is φ = 238878720.

The previous prime is 946728947. The next prime is 946729039. The reversal of 946728960 is 69827649.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1166955 + ... + 1167765.

Almost surely, 2^946728960 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 946728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596262080).

946728960 is an abundant number, since it is smaller than the sum of its proper divisors (2245795200).

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

946728960 is a wasteful number, since it uses less digits than its factorization.

946728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 946728960 is about 30768.9609834326. The cubic root of 946728960 is about 981.9179985810.

The spelling of 946728960 in words is "nine hundred forty-six million, seven hundred twenty-eight thousand, nine hundred sixty".