952387968 has 128 divisors (see below), whose sum is σ = 2913120000. Its totient is φ = 270047232.

The previous prime is 952387967. The next prime is 952388077. The reversal of 952387968 is 869783259.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952387967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372358 + ... + 374906.

It is an arithmetic number, because the mean of its divisors is an integer number (22758750).

Almost surely, 2^952387968 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 952387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456560000).

952387968 is an abundant number, since it is smaller than the sum of its proper divisors (1960732032).

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

952387968 is a wasteful number, since it uses less digits than its factorization.

952387968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2700 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The square root of 952387968 is about 30860.7836582288. The cubic root of 952387968 is about 983.8705626557.

The spelling of 952387968 in words is "nine hundred fifty-two million, three hundred eighty-seven thousand, nine hundred sixty-eight".