84256480 has 144 divisors (see below), whose sum is σ = 252863856. Its totient is φ = 26234880.

The previous prime is 84256463. The next prime is 84256483. The reversal of 84256480 is 8465248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84256483) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 85752 + ... + 86728.

It is an arithmetic number, because the mean of its divisors is an integer number (1755999).

Almost surely, 2^84256480 is an apocalyptic number.

84256480 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 84256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126431928).

84256480 is an abundant number, since it is smaller than the sum of its proper divisors (168607376).

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

84256480 is a wasteful number, since it uses less digits than its factorization.

84256480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 84256480 is about 9179.1328566483. The cubic root of 84256480 is about 438.3971988206.

The spelling of 84256480 in words is "eighty-four million, two hundred fifty-six thousand, four hundred eighty".