82905648 has 120 divisors (see below), whose sum is σ = 252327600. Its totient is φ = 23385600.

The previous prime is 82905643. The next prime is 82905653. The reversal of 82905648 is 84650928.

It is an interprime number because it is at equal distance from previous prime (82905643) and next prime (82905653).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (82905643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237378 + ... + 237726.

It is an arithmetic number, because the mean of its divisors is an integer number (2102730).

Almost surely, 2^82905648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82905648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126163800).

82905648 is an abundant number, since it is smaller than the sum of its proper divisors (169421952).

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

82905648 is a wasteful number, since it uses less digits than its factorization.

82905648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 82905648 is about 9105.2538679600. The cubic root of 82905648 is about 436.0417152803.

The spelling of 82905648 in words is "eighty-two million, nine hundred five thousand, six hundred forty-eight".