84005262 has 160 divisors (see below), whose sum is σ = 225815040. Its totient is φ = 23051520.

The previous prime is 84005221. The next prime is 84005267. The reversal of 84005262 is 26250048.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84005267) 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 79 ways as a sum of consecutive naturals, for example, 1423789 + ... + 1423847.

It is an arithmetic number, because the mean of its divisors is an integer number (1411344).

Almost surely, 2^84005262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84005262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112907520).

84005262 is an abundant number, since it is smaller than the sum of its proper divisors (141809778).

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

84005262 is a wasteful number, since it uses less digits than its factorization.

84005262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 84005262 is about 9165.4384510508. The cubic root of 84005262 is about 437.9610586509.

The spelling of 84005262 in words is "eighty-four million, five thousand, two hundred sixty-two".