949391664 has 80 divisors (see below), whose sum is σ = 2674828800. Its totient is φ = 288407808.

The previous prime is 949391657. The next prime is 949391683. The reversal of 949391664 is 466193949.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 39667 + ... + 58925.

It is an arithmetic number, because the mean of its divisors is an integer number (33435360).

Almost surely, 2^949391664 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 949391664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337414400).

949391664 is an abundant number, since it is smaller than the sum of its proper divisors (1725437136).

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

949391664 is a wasteful number, since it uses less digits than its factorization.

949391664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19362 (or 19356 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 51.

The square root of 949391664 is about 30812.1999214597. The cubic root of 949391664 is about 982.8376949750.

The spelling of 949391664 in words is "nine hundred forty-nine million, three hundred ninety-one thousand, six hundred sixty-four".