949006320 has 80 divisors (see below), whose sum is σ = 2968991520. Its totient is φ = 250739712.

The previous prime is 949006309. The next prime is 949006337. The reversal of 949006320 is 23600949.

949006320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×949006320² = 1801225990799884800, which contains 22 as substring.

It is a congruent number.

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, 8022 + ... + 44298.

It is an arithmetic number, because the mean of its divisors is an integer number (37112394).

Almost surely, 2^949006320 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 949006320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484495760).

949006320 is an abundant number, since it is smaller than the sum of its proper divisors (2019985200).

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

949006320 is a wasteful number, since it uses less digits than its factorization.

949006320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36402 (or 36396 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 949006320 is about 30805.9461792687. The cubic root of 949006320 is about 982.7047038976.

The spelling of 949006320 in words is "nine hundred forty-nine million, six thousand, three hundred twenty".