946037664 has 576 divisors, whose sum is σ = 3541708800. Its totient is φ = 242611200.

The previous prime is 946037627. The next prime is 946037669. The reversal of 946037664 is 466730649.

It is not an unprimeable number, because it can be changed into a prime (946037669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30517329 + ... + 30517359.

It is an arithmetic number, because the mean of its divisors is an integer number (6148800).

Almost surely, 2^946037664 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 946037664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770854400).

946037664 is an abundant number, since it is smaller than the sum of its proper divisors (2595671136).

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

946037664 is a wasteful number, since it uses less digits than its factorization.

946037664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 946037664 is about 30757.7252734984. The cubic root of 946037664 is about 981.6789434420.

The spelling of 946037664 in words is "nine hundred forty-six million, thirty-seven thousand, six hundred sixty-four".