82610976 has 96 divisors (see below), whose sum is σ = 249298560. Its totient is φ = 23463936.

The previous prime is 82610971. The next prime is 82610981. The reversal of 82610976 is 67901628.

It is an interprime number because it is at equal distance from previous prime (82610971) and next prime (82610981).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82610971) 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 15 ways as a sum of consecutive naturals, for example, 180540 + ... + 180996.

It is an arithmetic number, because the mean of its divisors is an integer number (2596860).

Almost surely, 2^82610976 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 82610976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124649280).

82610976 is an abundant number, since it is smaller than the sum of its proper divisors (166687584).

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

82610976 is a wasteful number, since it uses less digits than its factorization.

82610976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 82610976 is about 9089.0580370025. The cubic root of 82610976 is about 435.5244935196.

The spelling of 82610976 in words is "eighty-two million, six hundred ten thousand, nine hundred seventy-six".