84266160 has 160 divisors (see below), whose sum is σ = 290338560. Its totient is φ = 20044800.

The previous prime is 84266123. The next prime is 84266167. The reversal of 84266160 is 6166248.

It is a happy number.

It is a super-2 number, since 2×84266160² = 14201571442291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (84266167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155490 + ... + 156030.

It is an arithmetic number, because the mean of its divisors is an integer number (1814616).

Almost surely, 2^84266160 is an apocalyptic number.

84266160 is a gapful number since it is divisible by the number (80) 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 84266160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145169280).

84266160 is an abundant number, since it is smaller than the sum of its proper divisors (206072400).

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

84266160 is a wasteful number, since it uses less digits than its factorization.

84266160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 84266160 is about 9179.6601244273. The cubic root of 84266160 is about 438.4139869354.

The spelling of 84266160 in words is "eighty-four million, two hundred sixty-six thousand, one hundred sixty".