84581280 has 192 divisors, whose sum is σ = 338446080. Its totient is φ = 19325952.

The previous prime is 84581219. The next prime is 84581309. The reversal of 84581280 is 8218548.

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

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, 28842 + ... + 31638.

It is an arithmetic number, because the mean of its divisors is an integer number (1762740).

Almost surely, 2^84581280 is an apocalyptic number.

84581280 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 84581280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169223040).

84581280 is an abundant number, since it is smaller than the sum of its proper divisors (253864800).

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

84581280 is a wasteful number, since it uses less digits than its factorization.

84581280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 84581280 is about 9196.8081419588. The cubic root of 84581280 is about 438.9598017720.

The spelling of 84581280 in words is "eighty-four million, five hundred eighty-one thousand, two hundred eighty".