949105920 has 576 divisors, whose sum is σ = 3842850816. Its totient is φ = 194641920.

The previous prime is 949105901. The next prime is 949105957. The reversal of 949105920 is 29501949.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14165727 + ... + 14165793.

It is an arithmetic number, because the mean of its divisors is an integer number (6671616).

Almost surely, 2^949105920 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 949105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921425408).

949105920 is an abundant number, since it is smaller than the sum of its proper divisors (2893744896).

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

949105920 is a wasteful number, since it uses less digits than its factorization.

949105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 949105920 is about 30807.5627078807. The cubic root of 949105920 is about 982.7390815979.

The spelling of 949105920 in words is "nine hundred forty-nine million, one hundred five thousand, nine hundred twenty".