84004080 has 80 divisors (see below), whose sum is σ = 266795424. Its totient is φ = 21852160.

The previous prime is 84004033. The next prime is 84004117. The reversal of 84004080 is 8040048.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 84004080.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5572 + ... + 14108.

Almost surely, 2^84004080 is an apocalyptic number.

84004080 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 84004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133397712).

84004080 is an abundant number, since it is smaller than the sum of its proper divisors (182791344).

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

84004080 is a wasteful number, since it uses less digits than its factorization.

84004080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8594 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 84004080 is about 9165.3739694570. The cubic root of 84004080 is about 437.9590045240.

The spelling of 84004080 in words is "eighty-four million, four thousand, eighty".