80268084 has 240 divisors, whose sum is σ = 256132800. Its totient is φ = 21648384.

The previous prime is 80268073. The next prime is 80268109. The reversal of 80268084 is 48086208.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1360447 + ... + 1360505.

It is an arithmetic number, because the mean of its divisors is an integer number (1067220).

Almost surely, 2^80268084 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 80268084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128066400).

80268084 is an abundant number, since it is smaller than the sum of its proper divisors (175864716).

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

80268084 is a wasteful number, since it uses less digits than its factorization.

80268084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 80268084 is about 8959.2457271804. The cubic root of 80268084 is about 431.3677092673.

It can be divided in two parts, 8026 and 8084, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 80268084 in words is "eighty million, two hundred sixty-eight thousand, eighty-four".