84580002 has 48 divisors (see below), whose sum is σ = 202707960. Its totient is φ = 25318656.

The previous prime is 84579991. The next prime is 84580009. The reversal of 84580002 is 20008548.

84580002 is a `hidden beast` number, since 84 + 580 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69205761 + 15374241 = 8319^2 + 3921^2 .

It is not an unprimeable number, because it can be changed into a prime (84580009) 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 23 ways as a sum of consecutive naturals, for example, 3774 + ... + 13542.

Almost surely, 2^84580002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84580002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101353980).

84580002 is an abundant number, since it is smaller than the sum of its proper divisors (118127958).

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

84580002 is a wasteful number, since it uses less digits than its factorization.

84580002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9827 (or 9824 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 84580002 is about 9196.7386610689. The cubic root of 84580002 is about 438.9575909067.

The spelling of 84580002 in words is "eighty-four million, five hundred eighty thousand, two".