82692000 has 144 divisors (see below), whose sum is σ = 293601672. Its totient is φ = 22041600.

The previous prime is 82691989. The next prime is 82692011. The reversal of 82692000 is 29628.

It is an interprime number because it is at equal distance from previous prime (82691989) and next prime (82692011).

It can be written as a sum of positive squares in 4 ways, for example, as 23155344 + 59536656 = 4812^2 + 7716^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34852 + ... + 37148.

Almost surely, 2^82692000 is an apocalyptic number.

82692000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82692000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146800836).

82692000 is an abundant number, since it is smaller than the sum of its proper divisors (210909672).

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

82692000 is a wasteful number, since it uses less digits than its factorization.

82692000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82692000 is about 9093.5141721999. The cubic root of 82692000 is about 435.6668329838. Note that the first 3 decimals are identical.

The spelling of 82692000 in words is "eighty-two million, six hundred ninety-two thousand".