950965920 has 336 divisors, whose sum is σ = 3490324992. Its totient is φ = 244477440.

The previous prime is 950965913. The next prime is 950965927. The reversal of 950965920 is 29569059.

950965920 is a `hidden beast` number, since 9 + 50 + 9 + 6 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (950965913) and next prime (950965927).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (950965927) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3615709 + ... + 3615971.

It is an arithmetic number, because the mean of its divisors is an integer number (10387872).

Almost surely, 2^950965920 is an apocalyptic number.

950965920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 950965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745162496).

950965920 is an abundant number, since it is smaller than the sum of its proper divisors (2539359072).

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

950965920 is a wasteful number, since it uses less digits than its factorization.

950965920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 950965920 is about 30837.7353254094. The cubic root of 950965920 is about 983.3806334297.

The spelling of 950965920 in words is "nine hundred fifty million, nine hundred sixty-five thousand, nine hundred twenty".