84153168 has 100 divisors (see below), whose sum is σ = 265750848. Its totient is φ = 25496640.

The previous prime is 84153101. The next prime is 84153187. The reversal of 84153168 is 86135148.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11305 + ... + 17207.

Almost surely, 2^84153168 is an apocalyptic number.

84153168 is a gapful number since it is divisible by the number (88) 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 84153168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132875424).

84153168 is an abundant number, since it is smaller than the sum of its proper divisors (181597680).

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

84153168 is a wasteful number, since it uses less digits than its factorization.

84153168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934 (or 5919 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 84153168 is about 9173.5035836915. The cubic root of 84153168 is about 438.2179437031.

The spelling of 84153168 in words is "eighty-four million, one hundred fifty-three thousand, one hundred sixty-eight".