84682000 has 80 divisors (see below), whose sum is σ = 220579632. Its totient is φ = 31257600.

The previous prime is 84681967. The next prime is 84682019. The reversal of 84682000 is 28648.

It can be written as a sum of positive squares in 8 ways, for example, as 27164944 + 57517056 = 5212^2 + 7584^2 .

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

It is a super-2 number, since 2×84682000² = 14342082248000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 84682000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24372 + ... + 27628.

Almost surely, 2^84682000 is an apocalyptic number.

84682000 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 84682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110289816).

84682000 is an abundant number, since it is smaller than the sum of its proper divisors (135897632).

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

84682000 is a wasteful number, since it uses less digits than its factorization.

84682000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 84682000 is about 9202.2823255973. The cubic root of 84682000 is about 439.1339714918.

The spelling of 84682000 in words is "eighty-four million, six hundred eighty-two thousand".