84332080 has 80 divisors (see below), whose sum is σ = 229610304. Its totient is φ = 28200960.

The previous prime is 84332077. The next prime is 84332093. The reversal of 84332080 is 8023348.

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

It is a super-2 number, since 2×84332080² = 14223799434252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 21124 + ... + 24796.

Almost surely, 2^84332080 is an apocalyptic number.

84332080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

84332080 is the 4592-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84332080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114805152).

84332080 is an abundant number, since it is smaller than the sum of its proper divisors (145278224).

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

84332080 is a wasteful number, since it uses less digits than its factorization.

84332080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 84332080 is about 9183.2499693736. The cubic root of 84332080 is about 438.5282784345.

It can be divided in two parts, 843 and 32080, that added together give a palindrome (32923).

The spelling of 84332080 in words is "eighty-four million, three hundred thirty-two thousand, eighty".