970558000 has 80 divisors (see below), whose sum is σ = 2470422240. Its totient is φ = 367776000.

The previous prime is 970557997. The next prime is 970558009. The reversal of 970558000 is 855079.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×970558000³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (970558009) 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, 25230 + ... + 50770.

It is an arithmetic number, because the mean of its divisors is an integer number (30880278).

Almost surely, 2^970558000 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 970558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235211120).

970558000 is an abundant number, since it is smaller than the sum of its proper divisors (1499864240).

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

970558000 is a wasteful number, since it uses less digits than its factorization.

970558000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25583 (or 25567 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 970558000 is about 31153.7798669760. The cubic root of 970558000 is about 990.0880784133.

The spelling of 970558000 in words is "nine hundred seventy million, five hundred fifty-eight thousand".