84141936 has 160 divisors (see below), whose sum is σ = 255856640. Its totient is φ = 26438400.

The previous prime is 84141929. The next prime is 84141943. The reversal of 84141936 is 63914148.

It is an interprime number because it is at equal distance from previous prime (84141929) and next prime (84141943).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 84141936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816861 + ... + 816963.

It is an arithmetic number, because the mean of its divisors is an integer number (1599104).

Almost surely, 2^84141936 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 84141936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127928320).

84141936 is an abundant number, since it is smaller than the sum of its proper divisors (171714704).

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

84141936 is a wasteful number, since it uses less digits than its factorization.

84141936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 84141936 is about 9172.8913653221. The cubic root of 84141936 is about 438.1984463863.

The spelling of 84141936 in words is "eighty-four million, one hundred forty-one thousand, nine hundred thirty-six".