82608732 has 144 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 24254208.

The previous prime is 82608703. The next prime is 82608737. The reversal of 82608732 is 23780628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82608737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928144 + ... + 928232.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 2^82608732 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 82608732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

82608732 is an abundant number, since it is smaller than the sum of its proper divisors (153263268).

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

82608732 is a wasteful number, since it uses less digits than its factorization.

82608732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 82608732 is about 9088.9345910288. The cubic root of 82608732 is about 435.5205500331.

The spelling of 82608732 in words is "eighty-two million, six hundred eight thousand, seven hundred thirty-two".