84369168 has 160 divisors (see below), whose sum is σ = 265399680. Its totient is φ = 25505280.

The previous prime is 84369167. The next prime is 84369169. The reversal of 84369168 is 86196348.

It is an interprime number because it is at equal distance from previous prime (84369167) and next prime (84369169).

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

It is not an unprimeable number, because it can be changed into a prime (84369167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466038 + ... + 466218.

It is an arithmetic number, because the mean of its divisors is an integer number (1658748).

Almost surely, 2^84369168 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 84369168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132699840).

84369168 is an abundant number, since it is smaller than the sum of its proper divisors (181030512).

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

84369168 is a wasteful number, since it uses less digits than its factorization.

84369168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 84369168 is about 9185.2690760805. The cubic root of 84369168 is about 438.5925550938.

The spelling of 84369168 in words is "eighty-four million, three hundred sixty-nine thousand, one hundred sixty-eight".