84542000 has 80 divisors (see below), whose sum is σ = 209611584. Its totient is φ = 32960000.

The previous prime is 84541979. The next prime is 84542027. The reversal of 84542000 is 24548.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81485 + ... + 82515.

Almost surely, 2^84542000 is an apocalyptic number.

84542000 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 84542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104805792).

84542000 is an abundant number, since it is smaller than the sum of its proper divisors (125069584).

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

84542000 is a wasteful number, since it uses less digits than its factorization.

84542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 84542000 is about 9194.6723704545. The cubic root of 84542000 is about 438.8918394883.

Adding to 84542000 its reverse (24548), we get a palindrome (84566548).

The spelling of 84542000 in words is "eighty-four million, five hundred forty-two thousand".