1958116608 has 216 divisors, whose sum is σ = 6489520128. Its totient is φ = 556240896.

The previous prime is 1958116591. The next prime is 1958116637. The reversal of 1958116608 is 8066118591.

1958116608 is a `hidden beast` number, since 1 + 9 + 581 + 1 + 6 + 60 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5112385 + ... + 5112767.

Almost surely, 2^1958116608 is an apocalyptic number.

1958116608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1958116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244760064).

1958116608 is an abundant number, since it is smaller than the sum of its proper divisors (4531403520).

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

1958116608 is a wasteful number, since it uses less digits than its factorization.

1958116608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1958116608 is about 44250.6113856069. The cubic root of 1958116608 is about 1251.0639704898.

The spelling of 1958116608 in words is "one billion, nine hundred fifty-eight million, one hundred sixteen thousand, six hundred eight".