82664648 has 32 divisors (see below), whose sum is σ = 170233920. Its totient is φ = 37320000.

The previous prime is 82664629. The next prime is 82664653. The reversal of 82664648 is 84646628.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 82664599 and 82664608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10178 + ... + 16398.

It is an arithmetic number, because the mean of its divisors is an integer number (5319810).

Almost surely, 2^82664648 is an apocalyptic number.

82664648 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 82664648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85116960).

82664648 is an abundant number, since it is smaller than the sum of its proper divisors (87569272).

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

82664648 is a wasteful number, since it uses less digits than its factorization.

82664648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6385 counting only the distinct ones).

The product of its digits is 442368, while the sum is 44.

The square root of 82664648 is about 9092.0101187801. The cubic root of 82664648 is about 435.6187925715.

The spelling of 82664648 in words is "eighty-two million, six hundred sixty-four thousand, six hundred forty-eight".