84167328 has 96 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 23904000.

The previous prime is 84167299. The next prime is 84167371. The reversal of 84167328 is 82376148.

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

It is a nude number because it is divisible by every one of its digits.

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, 168423 + ... + 168921.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^84167328 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 84167328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

84167328 is an abundant number, since it is smaller than the sum of its proper divisors (169848672).

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

84167328 is a wasteful number, since it uses less digits than its factorization.

84167328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 762 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 84167328 is about 9174.2753392298. The cubic root of 84167328 is about 438.2425211818.

The spelling of 84167328 in words is "eighty-four million, one hundred sixty-seven thousand, three hundred twenty-eight".