946809864 has 512 divisors, whose sum is σ = 3677184000. Its totient is φ = 217728000.

The previous prime is 946809863. The next prime is 946809907. The reversal of 946809864 is 468908649.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 946809864.

It is not an unprimeable number, because it can be changed into a prime (946809863) 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 127 ways as a sum of consecutive naturals, for example, 6270189 + ... + 6270339.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^946809864 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 946809864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838592000).

946809864 is an abundant number, since it is smaller than the sum of its proper divisors (2730374136).

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

946809864 is a wasteful number, since it uses less digits than its factorization.

946809864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 946809864 is about 30770.2756568738. The cubic root of 946809864 is about 981.9459681599.

The spelling of 946809864 in words is "nine hundred forty-six million, eight hundred nine thousand, eight hundred sixty-four".