958632960 has 176 divisors, whose sum is σ = 3095064000. Its totient is φ = 253231104.

The previous prime is 958632959. The next prime is 958632967. The reversal of 958632960 is 69236859.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (958632967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2134816 + ... + 2135264.

Almost surely, 2^958632960 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 958632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547532000).

958632960 is an abundant number, since it is smaller than the sum of its proper divisors (2136431040).

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

958632960 is a wasteful number, since it uses less digits than its factorization.

958632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 958632960 is about 30961.7983973800. The cubic root of 958632960 is about 986.0163558270.

The spelling of 958632960 in words is "nine hundred fifty-eight million, six hundred thirty-two thousand, nine hundred sixty".