8281440 has 168 divisors, whose sum is σ = 29747088. Its totient is φ = 2177280.

The previous prime is 8281439. The next prime is 8281457. The reversal of 8281440 is 441828.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116605 + ... + 116675.

It is an arithmetic number, because the mean of its divisors is an integer number (177066).

Almost surely, 2^8281440 is an apocalyptic number.

8281440 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 8281440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873544).

8281440 is an abundant number, since it is smaller than the sum of its proper divisors (21465648).

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

8281440 is an equidigital number, since it uses as much as digits as its factorization.

8281440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8281440 is about 2877.7491204064. The cubic root of 8281440 is about 202.3183556306.

The spelling of 8281440 in words is "eight million, two hundred eighty-one thousand, four hundred forty".