872991000 has 512 divisors, whose sum is σ = 3594240000. Its totient is φ = 191808000.

The previous prime is 872990981. The next prime is 872991047. The reversal of 872991000 is 199278.

It is a happy number.

It is a super-2 number, since 2×872991000² = 1524226572162000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5858926 + ... + 5859074.

It is an arithmetic number, because the mean of its divisors is an integer number (7020000).

Almost surely, 2^872991000 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 872991000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797120000).

872991000 is an abundant number, since it is smaller than the sum of its proper divisors (2721249000).

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

872991000 is a wasteful number, since it uses less digits than its factorization.

872991000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 872991000 is about 29546.4211030710. The cubic root of 872991000 is about 955.7330154357.

The spelling of 872991000 in words is "eight hundred seventy-two million, nine hundred ninety-one thousand".