87881500 has 144 divisors (see below), whose sum is σ = 237523104. Its totient is φ = 28224000.

The previous prime is 87881489. The next prime is 87881501. The reversal of 87881500 is 518878.

It is a self number, because there is not a number n which added to its sum of digits gives 87881500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87881501) 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, 416395 + ... + 416605.

It is an arithmetic number, because the mean of its divisors is an integer number (1649466).

Almost surely, 2^87881500 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 87881500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118761552).

87881500 is an abundant number, since it is smaller than the sum of its proper divisors (149641604).

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

87881500 is a wasteful number, since it uses less digits than its factorization.

87881500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 37.

The square root of 87881500 is about 9374.5133207010. The cubic root of 87881500 is about 444.5962756718.

The spelling of 87881500 in words is "eighty-seven million, eight hundred eighty-one thousand, five hundred".