87888900 has 72 divisors (see below), whose sum is σ = 277419744. Its totient is φ = 21305600.

The previous prime is 87888883. The next prime is 87888901. The reversal of 87888900 is 988878.

Added to its reverse (988878) it gives a triangular number (88877778 = T₁₃₃₃₂).

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 87888900.

It is not an unprimeable number, because it can be changed into a prime (87888901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10017 + ... + 16616.

It is an arithmetic number, because the mean of its divisors is an integer number (3853052).

Almost surely, 2^87888900 is an apocalyptic number.

It is an amenable number.

87888900 is an abundant number, since it is smaller than the sum of its proper divisors (189530844).

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

87888900 is a wasteful number, since it uses less digits than its factorization.

87888900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26661 (or 26654 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The square root of 87888900 is about 9374.9079995486. The cubic root of 87888900 is about 444.6087542939.

Adding to 87888900 its reverse (988878), we get a triangular number (88877778 = T₁₃₃₃₂).

It can be divided in two parts, 87888 and 900, that added together give a palindrome (88788).

The spelling of 87888900 in words is "eighty-seven million, eight hundred eighty-eight thousand, nine hundred".