84542080 has 128 divisors (see below), whose sum is σ = 234420480. Its totient is φ = 28557312.

The previous prime is 84542033. The next prime is 84542083. The reversal of 84542080 is 8024548.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (84542083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506157 + ... + 506323.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 2^84542080 is an apocalyptic number.

84542080 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 84542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117210240).

84542080 is an abundant number, since it is smaller than the sum of its proper divisors (149878400).

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

84542080 is a wasteful number, since it uses less digits than its factorization.

84542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 84542080 is about 9194.6767207988. The cubic root of 84542080 is about 438.8919779258.

The spelling of 84542080 in words is "eighty-four million, five hundred forty-two thousand, eighty".