82688748 has 48 divisors (see below), whose sum is σ = 205005024. Its totient is φ = 25850880.

The previous prime is 82688719. The next prime is 82688783. The reversal of 82688748 is 84788628.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 82688748.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80478 + ... + 81498.

It is an arithmetic number, because the mean of its divisors is an integer number (4270938).

Almost surely, 2^82688748 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 82688748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102502512).

82688748 is an abundant number, since it is smaller than the sum of its proper divisors (122316276).

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

82688748 is a wasteful number, since it uses less digits than its factorization.

82688748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1440 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The square root of 82688748 is about 9093.3353616811. The cubic root of 82688748 is about 435.6611218020.

It can be divided in two parts, 82688 and 748, that added together give a triangular number (83436 = T₄₀₈).

The spelling of 82688748 in words is "eighty-two million, six hundred eighty-eight thousand, seven hundred forty-eight".