82499648 has 56 divisors (see below), whose sum is σ = 204118464. Its totient is φ = 32140800.

The previous prime is 82499647. The next prime is 82499663. The reversal of 82499648 is 84699428.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 82499596 and 82499605.

It is not an unprimeable number, because it can be changed into a prime (82499647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3443 + ... + 13298.

Almost surely, 2^82499648 is an apocalyptic number.

82499648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82499648 is an abundant number, since it is smaller than the sum of its proper divisors (121618816).

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

82499648 is a wasteful number, since it uses less digits than its factorization.

82499648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16771 (or 16761 counting only the distinct ones).

The product of its digits is 995328, while the sum is 50.

The square root of 82499648 is about 9082.9316853095. The cubic root of 82499648 is about 435.3287654227.

The spelling of 82499648 in words is "eighty-two million, four hundred ninety-nine thousand, six hundred forty-eight".