950960640 has 480 divisors, whose sum is σ = 3741724800. Its totient is φ = 205922304.

The previous prime is 950960629. The next prime is 950960657. The reversal of 950960640 is 46069059.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×950960640² = 1808652277658419200, 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 47 ways as a sum of consecutive naturals, for example, 50050551 + ... + 50050569.

It is an arithmetic number, because the mean of its divisors is an integer number (7795260).

Almost surely, 2^950960640 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 950960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870862400).

950960640 is an abundant number, since it is smaller than the sum of its proper divisors (2790764160).

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

950960640 is an equidigital number, since it uses as much as digits as its factorization.

950960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 950960640 is about 30837.6497158911. The cubic root of 950960640 is about 983.3788134348.

The spelling of 950960640 in words is "nine hundred fifty million, nine hundred sixty thousand, six hundred forty".