84090760 has 128 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 28993536.

The previous prime is 84090733. The next prime is 84090761. The reversal of 84090760 is 6709048.

It is not an unprimeable number, because it can be changed into a prime (84090761) 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, 944796 + ... + 944884.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^84090760 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 84090760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

84090760 is an abundant number, since it is smaller than the sum of its proper divisors (133637240).

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

84090760 is a wasteful number, since it uses less digits than its factorization.

84090760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 84090760 is about 9170.1014171055. The cubic root of 84090760 is about 438.1095894194.

The spelling of 84090760 in words is "eighty-four million, ninety thousand, seven hundred sixty".