958216560 has 240 divisors, whose sum is σ = 3659471136. Its totient is φ = 206094336.

The previous prime is 958216559. The next prime is 958216573. The reversal of 958216560 is 65612859.

958216560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197524 + ... + 202316.

Almost surely, 2^958216560 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 958216560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829735568).

958216560 is an abundant number, since it is smaller than the sum of its proper divisors (2701254576).

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

958216560 is a wasteful number, since it uses less digits than its factorization.

958216560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 958216560 is about 30955.0732514074. The cubic root of 958216560 is about 985.8735703226.

The spelling of 958216560 in words is "nine hundred fifty-eight million, two hundred sixteen thousand, five hundred sixty".