82882240 has 112 divisors (see below), whose sum is σ = 227941632. Its totient is φ = 28118016.

The previous prime is 82882231. The next prime is 82882249. The reversal of 82882240 is 4228828.

It is an interprime number because it is at equal distance from previous prime (82882231) and next prime (82882249).

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 82882196 and 82882205.

It is not an unprimeable number, because it can be changed into a prime (82882249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365007 + ... + 365233.

Almost surely, 2^82882240 is an apocalyptic number.

82882240 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 82882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113970816).

82882240 is an abundant number, since it is smaller than the sum of its proper divisors (145059392).

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

82882240 is a wasteful number, since it uses less digits than its factorization.

82882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 82882240 is about 9103.9683654986. The cubic root of 82882240 is about 436.0006733430. Note that the first 3 decimals are identical.

The spelling of 82882240 in words is "eighty-two million, eight hundred eighty-two thousand, two hundred forty".