82887960 has 64 divisors (see below), whose sum is σ = 250984800. Its totient is φ = 21897216.

The previous prime is 82887953. The next prime is 82887967. The reversal of 82887960 is 6978828.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82887953) and next prime (82887967).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82887967) 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, 9912 + ... + 16248.

Almost surely, 2^82887960 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 82887960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125492400).

82887960 is an abundant number, since it is smaller than the sum of its proper divisors (168096840).

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

82887960 is a wasteful number, since it uses less digits than its factorization.

82887960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 82887960 is about 9104.2825087977. The cubic root of 82887960 is about 436.0107031012.

It can be divided in two parts, 828 and 87960, that added together give a palindrome (88788).

The spelling of 82887960 in words is "eighty-two million, eight hundred eighty-seven thousand, nine hundred sixty".