941947968 has 224 divisors, whose sum is σ = 2888040960. Its totient is φ = 268369920.

The previous prime is 941947967. The next prime is 941947973. The reversal of 941947968 is 869749149.

It is not an unprimeable number, because it can be changed into a prime (941947967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3351988 + ... + 3352268.

It is an arithmetic number, because the mean of its divisors is an integer number (12893040).

Almost surely, 2^941947968 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 941947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444020480).

941947968 is an abundant number, since it is smaller than the sum of its proper divisors (1946092992).

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

941947968 is a wasteful number, since it uses less digits than its factorization.

941947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The square root of 941947968 is about 30691.1708476558. The cubic root of 941947968 is about 980.2623093474.

The spelling of 941947968 in words is "nine hundred forty-one million, nine hundred forty-seven thousand, nine hundred sixty-eight".