84191040 has 336 divisors, whose sum is σ = 319527936. Its totient is φ = 20275200.

The previous prime is 84191027. The next prime is 84191057. The reversal of 84191040 is 4019148.

It is a junction number, because it is equal to n+sod(n) for n = 84190995 and 84191013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2053420 + ... + 2053460.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 2^84191040 is an apocalyptic number.

84191040 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 84191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159763968).

84191040 is an abundant number, since it is smaller than the sum of its proper divisors (235336896).

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

84191040 is a wasteful number, since it uses less digits than its factorization.

84191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 84191040 is about 9175.5675573776. The cubic root of 84191040 is about 438.2836718722.

The spelling of 84191040 in words is "eighty-four million, one hundred ninety-one thousand, forty".