84268080 has 160 divisors (see below), whose sum is σ = 312688320. Its totient is φ = 20736000.

The previous prime is 84268073. The next prime is 84268081. The reversal of 84268080 is 8086248.

It is a super-2 number, since 2×84268080² = 14202218613772800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (84268081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26580 + ... + 29580.

It is an arithmetic number, because the mean of its divisors is an integer number (1954302).

Almost surely, 2^84268080 is an apocalyptic number.

84268080 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 84268080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156344160).

84268080 is an abundant number, since it is smaller than the sum of its proper divisors (228420240).

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

84268080 is a wasteful number, since it uses less digits than its factorization.

84268080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3024 counting only the distinct ones).

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

The square root of 84268080 is about 9179.7647028668. The cubic root of 84268080 is about 438.4173166566.

The spelling of 84268080 in words is "eighty-four million, two hundred sixty-eight thousand, eighty".