82267488 has 120 divisors (see below), whose sum is σ = 256315752. Its totient is φ = 25795584.

The previous prime is 82267469. The next prime is 82267489. The reversal of 82267488 is 88476228.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82267489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43131 + ... + 44997.

Almost surely, 2^82267488 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 82267488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128157876).

82267488 is an abundant number, since it is smaller than the sum of its proper divisors (174048264).

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

82267488 is a wasteful number, since it uses less digits than its factorization.

82267488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1889 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 82267488 is about 9070.1426670147. The cubic root of 82267488 is about 434.9200328628.

The spelling of 82267488 in words is "eighty-two million, two hundred sixty-seven thousand, four hundred eighty-eight".