87882360 has 64 divisors (see below), whose sum is σ = 266021280. Its totient is φ = 23224320.

The previous prime is 87882343. The next prime is 87882371. The reversal of 87882360 is 6328878.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10320 + ... + 16800.

Almost surely, 2^87882360 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 87882360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133010640).

87882360 is an abundant number, since it is smaller than the sum of its proper divisors (178138920).

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

87882360 is a wasteful number, since it uses less digits than its factorization.

87882360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 87882360 is about 9374.5591896366. The cubic root of 87882360 is about 444.5977259260.

It can be divided in two parts, 878 and 82360, that added together give a palindrome (83238).

The spelling of 87882360 in words is "eighty-seven million, eight hundred eighty-two thousand, three hundred sixty".