834986000 has 40 divisors (see below), whose sum is σ = 2019000984. Its totient is φ = 333993600.

The previous prime is 834985981. The next prime is 834986003. The reversal of 834986000 is 689438.

It can be written as a sum of positive squares in 4 ways, for example, as 3701776 + 831284224 = 1924^2 + 28832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (834986003) 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, 206747 + ... + 210746.

Almost surely, 2^834986000 is an apocalyptic number.

834986000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

834986000 is an abundant number, since it is smaller than the sum of its proper divisors (1184014984).

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

834986000 is a wasteful number, since it uses less digits than its factorization.

834986000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417516 (or 417500 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 834986000 is about 28896.1243075953. The cubic root of 834986000 is about 941.6577056430.

It can be divided in two parts, 83498 and 6000, that added together give a palindrome (89498).

The spelling of 834986000 in words is "eight hundred thirty-four million, nine hundred eighty-six thousand".