84542304 has 96 divisors (see below), whose sum is σ = 276708096. Its totient is φ = 21957120.

The previous prime is 84542303. The next prime is 84542347. The reversal of 84542304 is 40324548.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84542303) 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, 1674 + ... + 13110.

It is an arithmetic number, because the mean of its divisors is an integer number (2882376).

Almost surely, 2^84542304 is an apocalyptic number.

84542304 is a gapful number since it is divisible by the number (84) 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 84542304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138354048).

84542304 is an abundant number, since it is smaller than the sum of its proper divisors (192165792).

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

84542304 is a wasteful number, since it uses less digits than its factorization.

84542304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11468 (or 11460 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 84542304 is about 9194.6889017519. The cubic root of 84542304 is about 438.8923655502.

The spelling of 84542304 in words is "eighty-four million, five hundred forty-two thousand, three hundred four".