958080 has 64 divisors (see below), whose sum is σ = 3060000. Its totient is φ = 254976.

The previous prime is 958063. The next prime is 958121. The reversal of 958080 is 80859.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

958080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1671 + ... + 2169.

2⁹⁵⁸⁰⁸⁰ 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 958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530000).

958080 is an abundant number, since it is smaller than the sum of its proper divisors (2101920).

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

958080 is a wasteful number, since it uses less digits than its factorization.

958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 958080 is about 978.8156108277. The cubic root of 958080 is about 98.5826734254.

The spelling of 958080 in words is "nine hundred fifty-eight thousand, eighty".