958953996 has 432 divisors, whose sum is σ = 3453166080. Its totient is φ = 217451520.

The previous prime is 958953967. The next prime is 958954021. The reversal of 958953996 is 699359859.

958953996 is a `hidden beast` number, since 9 + 5 + 8 + 9 + 539 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 10774720 + ... + 10774808.

It is an arithmetic number, because the mean of its divisors is an integer number (7993440).

Almost surely, 2^958953996 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 958953996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726583040).

958953996 is an abundant number, since it is smaller than the sum of its proper divisors (2494212084).

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

958953996 is a wasteful number, since it uses less digits than its factorization.

958953996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its digits is 23619600, while the sum is 63.

The square root of 958953996 is about 30966.9823521763. The cubic root of 958953996 is about 986.1264123451.

The spelling of 958953996 in words is "nine hundred fifty-eight million, nine hundred fifty-three thousand, nine hundred ninety-six".