958063680 has 672 divisors, whose sum is σ = 4114068480. Its totient is φ = 209018880.

The previous prime is 958063663. The next prime is 958063709. The reversal of 958063680 is 86360859.

958063680 is a `hidden beast` number, since 9 + 5 + 8 + 0 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13124124 + ... + 13124196.

Almost surely, 2^958063680 is an apocalyptic number.

958063680 is a gapful number since it is divisible by the number (90) 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 958063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057034240).

958063680 is an abundant number, since it is smaller than the sum of its proper divisors (3156004800).

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

958063680 is a wasteful number, since it uses less digits than its factorization.

958063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 958063680 is about 30952.6037676962. The cubic root of 958063680 is about 985.8211366752.

The spelling of 958063680 in words is "nine hundred fifty-eight million, sixty-three thousand, six hundred eighty".