82285440 has 128 divisors (see below), whose sum is σ = 277823520. Its totient is φ = 20643840.

The previous prime is 82285429. The next prime is 82285451. The reversal of 82285440 is 4458228.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82285429) and next prime (82285451).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31380 + ... + 33900.

Almost surely, 2^82285440 is an apocalyptic number.

82285440 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 82285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138911760).

82285440 is an abundant number, since it is smaller than the sum of its proper divisors (195538080).

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

82285440 is a wasteful number, since it uses less digits than its factorization.

82285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 82285440 is about 9071.1322336299. The cubic root of 82285440 is about 434.9516659205.

The spelling of 82285440 in words is "eighty-two million, two hundred eighty-five thousand, four hundred forty".