84959280 has 200 divisors, whose sum is σ = 337409952. Its totient is φ = 19408896.

The previous prime is 84959267. The next prime is 84959323. The reversal of 84959280 is 8295948.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44424 + ... + 46296.

Almost surely, 2^84959280 is an apocalyptic number.

84959280 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 84959280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168704976).

84959280 is an abundant number, since it is smaller than the sum of its proper divisors (252450672).

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

84959280 is a wasteful number, since it uses less digits than its factorization.

84959280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 84959280 is about 9217.3358406863. The cubic root of 84959280 is about 439.6127446660.

The spelling of 84959280 in words is "eighty-four million, nine hundred fifty-nine thousand, two hundred eighty".