950376960 has 480 divisors, whose sum is σ = 3753509760. Its totient is φ = 220299264.

The previous prime is 950376919. The next prime is 950376967. The reversal of 950376960 is 69673059.

950376960 is digitally balanced in base 6, 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 (480).

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 (950376967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5690797 + ... + 5690963.

It is an arithmetic number, because the mean of its divisors is an integer number (7819812).

Almost surely, 2^950376960 is an apocalyptic number.

950376960 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 950376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876754880).

950376960 is an abundant number, since it is smaller than the sum of its proper divisors (2803132800).

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

950376960 is a wasteful number, since it uses less digits than its factorization.

950376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 950376960 is about 30828.1845070384. The cubic root of 950376960 is about 983.1775797230.

The spelling of 950376960 in words is "nine hundred fifty million, three hundred seventy-six thousand, nine hundred sixty".