84252168 has 288 divisors, whose sum is σ = 313709760. Its totient is φ = 20079360.

The previous prime is 84252167. The next prime is 84252169. The reversal of 84252168 is 86125248.

It is an interprime number because it is at equal distance from previous prime (84252167) and next prime (84252169).

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

It is not an unprimeable number, because it can be changed into a prime (84252167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 504421 + ... + 504587.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^84252168 is an apocalyptic number.

84252168 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 84252168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

84252168 is an abundant number, since it is smaller than the sum of its proper divisors (229457592).

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

84252168 is a wasteful number, since it uses less digits than its factorization.

84252168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 84252168 is about 9178.8979730684. The cubic root of 84252168 is about 438.3897200646.

Subtracting 84252168 from its reverse (86125248), we obtain a triangular number (1873080 = T₁₉₃₅).

It can be divided in two parts, 84 and 252168, that added together give a palindrome (252252).

The spelling of 84252168 in words is "eighty-four million, two hundred fifty-two thousand, one hundred sixty-eight".