87205888 has 144 divisors (see below), whose sum is σ = 224078400. Its totient is φ = 33546240.

The previous prime is 87205861. The next prime is 87205907. The reversal of 87205888 is 88850278.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1103833 + ... + 1103911.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^87205888 is an apocalyptic number.

87205888 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87205888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

87205888 is an abundant number, since it is smaller than the sum of its proper divisors (136872512).

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

87205888 is a wasteful number, since it uses less digits than its factorization.

87205888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 46.

The square root of 87205888 is about 9338.4092863828. The cubic root of 87205888 is about 443.4540268500.

The spelling of 87205888 in words is "eighty-seven million, two hundred five thousand, eight hundred eighty-eight".