950724864 has 432 divisors, whose sum is σ = 3214149120. Its totient is φ = 278691840.

The previous prime is 950724857. The next prime is 950724889. The reversal of 950724864 is 468427059.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30668529 + ... + 30668559.

It is an arithmetic number, because the mean of its divisors is an integer number (7440160).

Almost surely, 2^950724864 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 950724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607074560).

950724864 is an abundant number, since it is smaller than the sum of its proper divisors (2263424256).

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

950724864 is a wasteful number, since it uses less digits than its factorization.

950724864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 950724864 is about 30833.8266194775. The cubic root of 950724864 is about 983.2975355221.

The spelling of 950724864 in words is "nine hundred fifty million, seven hundred twenty-four thousand, eight hundred sixty-four".