958880 has 48 divisors (see below), whose sum is σ = 2444904. Its totient is φ = 353280.

The previous prime is 958877. The next prime is 958883. The reversal of 958880 is 88859.

958880 = 88² + 89² + ... + 152².

It is an interprime number because it is at equal distance from previous prime (958877) and next prime (958883).

It can be written as a sum of positive squares in 4 ways, for example, as 512656 + 446224 = 716^2 + 668^2 .

It is not an unprimeable number, because it can be changed into a prime (958883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1850 + ... + 2310.

2⁹⁵⁸⁸⁸⁰ 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 958880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222452).

958880 is an abundant number, since it is smaller than the sum of its proper divisors (1486024).

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

958880 is a wasteful number, since it uses less digits than its factorization.

958880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

The square root of 958880 is about 979.2241827079. The cubic root of 958880 is about 98.6101047455.

The spelling of 958880 in words is "nine hundred fifty-eight thousand, eight hundred eighty".