946397760 has 672 divisors, whose sum is σ = 4002877440. Its totient is φ = 187084800.

The previous prime is 946397747. The next prime is 946397761. The reversal of 946397760 is 67793649.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (946397761) 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 95 ways as a sum of consecutive naturals, for example, 16040611 + ... + 16040669.

Almost surely, 2^946397760 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 946397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001438720).

946397760 is an abundant number, since it is smaller than the sum of its proper divisors (3056479680).

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

946397760 is a wasteful number, since it uses less digits than its factorization.

946397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 51.

The square root of 946397760 is about 30763.5784654516. The cubic root of 946397760 is about 981.8034817602.

The spelling of 946397760 in words is "nine hundred forty-six million, three hundred ninety-seven thousand, seven hundred sixty".