958622112 has 288 divisors, whose sum is σ = 3348438912. Its totient is φ = 253919232.

The previous prime is 958622111. The next prime is 958622153. The reversal of 958622112 is 211226859.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (958622111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2844408 + ... + 2844744.

It is an arithmetic number, because the mean of its divisors is an integer number (11626524).

Almost surely, 2^958622112 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 958622112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674219456).

958622112 is an abundant number, since it is smaller than the sum of its proper divisors (2389816800).

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

958622112 is a wasteful number, since it uses less digits than its factorization.

958622112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 449 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 958622112 is about 30961.6232132619. The cubic root of 958622112 is about 986.0126365217.

The spelling of 958622112 in words is "nine hundred fifty-eight million, six hundred twenty-two thousand, one hundred twelve".