84609168 has 80 divisors (see below), whose sum is σ = 257888256. Its totient is φ = 23391360.

The previous prime is 84609167. The next prime is 84609169. The reversal of 84609168 is 86190648.

It is an interprime number because it is at equal distance from previous prime (84609167) and next prime (84609169).

It is a super-2 number, since 2×84609168² = 14317422619304448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (84609163) 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, 6355 + ... + 14477.

Almost surely, 2^84609168 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 84609168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128944128).

84609168 is an abundant number, since it is smaller than the sum of its proper divisors (173279088).

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

84609168 is a wasteful number, since it uses less digits than its factorization.

84609168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8172 (or 8166 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 84609168 is about 9198.3241951999. The cubic root of 84609168 is about 439.0080408377.

The spelling of 84609168 in words is "eighty-four million, six hundred nine thousand, one hundred sixty-eight".