82240048 has 80 divisors (see below), whose sum is σ = 182015136. Its totient is φ = 35665920.

The previous prime is 82240013. The next prime is 82240049. The reversal of 82240048 is 84004228.

It is a junction number, because it is equal to n+sod(n) for n = 82239998 and 82240025.

It is not an unprimeable number, because it can be changed into a prime (82240049) 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, 475290 + ... + 475462.

Almost surely, 2^82240048 is an apocalyptic number.

82240048 is a gapful number since it is divisible by the number (88) 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 82240048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91007568).

82240048 is an abundant number, since it is smaller than the sum of its proper divisors (99775088).

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

82240048 is a wasteful number, since it uses less digits than its factorization.

82240048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 82240048 is about 9068.6298854899. The cubic root of 82240048 is about 434.8716721916.

The spelling of 82240048 in words is "eighty-two million, two hundred forty thousand, forty-eight".