84000564 has 60 divisors (see below), whose sum is σ = 221737824. Its totient is φ = 27727056.

The previous prime is 84000557. The next prime is 84000593. The reversal of 84000564 is 46500048.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33457 + ... + 35879.

Almost surely, 2^84000564 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 84000564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110868912).

84000564 is an abundant number, since it is smaller than the sum of its proper divisors (137737260).

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

84000564 is a wasteful number, since it uses less digits than its factorization.

84000564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 84000564 is about 9165.1821585826. The cubic root of 84000564 is about 437.9528941647.

The spelling of 84000564 in words is "eighty-four million, five hundred sixty-four", and thus it is an aban number.