801968958 has 128 divisors (see below), whose sum is σ = 2125440000. Its totient is φ = 219300480.

The previous prime is 801968953. The next prime is 801968971. The reversal of 801968958 is 859869108.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801968953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1633093 + ... + 1633583.

It is an arithmetic number, because the mean of its divisors is an integer number (16605000).

Almost surely, 2^801968958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801968958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062720000).

801968958 is an abundant number, since it is smaller than the sum of its proper divisors (1323471042).

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

801968958 is a wasteful number, since it uses less digits than its factorization.

801968958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 801968958 is about 28319.0564461459. The cubic root of 801968958 is about 929.0787338890.

The spelling of 801968958 in words is "eight hundred one million, nine hundred sixty-eight thousand, nine hundred fifty-eight".