946080 has 120 divisors (see below), whose sum is σ = 3384612. Its totient is φ = 248832.

The previous prime is 946079. The next prime is 946081. The reversal of 946080 is 80649.

It is an interprime number because it is at equal distance from previous prime (946079) and next prime (946081).

It can be written as a sum of positive squares in 2 ways, for example, as 944784 + 1296 = 972^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (946081) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 12924 + ... + 12996.

2⁹⁴⁶⁰⁸⁰ is an apocalyptic number.

946080 is a gapful number since it is divisible by the number (90) 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 946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692306).

946080 is an abundant number, since it is smaller than the sum of its proper divisors (2438532).

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

946080 is a wasteful number, since it uses less digits than its factorization.

946080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 946080 is about 972.6664381997. Note that the first 3 decimals coincide. The cubic root of 946080 is about 98.1693586883.

The spelling of 946080 in words is "nine hundred forty-six thousand, eighty".