84287280 has 160 divisors (see below), whose sum is σ = 325836288. Its totient is φ = 17510400.

The previous prime is 84287279. The next prime is 84287303. The reversal of 84287280 is 8278248.

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 31 ways as a sum of consecutive naturals, for example, 16200 + ... + 20760.

Almost surely, 2^84287280 is an apocalyptic number.

84287280 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 84287280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162918144).

84287280 is an abundant number, since it is smaller than the sum of its proper divisors (241549008).

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

84287280 is a wasteful number, since it uses less digits than its factorization.

84287280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 84287280 is about 9180.8104217438. The cubic root of 84287280 is about 438.4506110874.

The spelling of 84287280 in words is "eighty-four million, two hundred eighty-seven thousand, two hundred eighty".