87090920 has 64 divisors (see below), whose sum is σ = 227664000. Its totient is φ = 29364480.

The previous prime is 87090917. The next prime is 87090959. The reversal of 87090920 is 2909078.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14531 + ... + 19629.

It is an arithmetic number, because the mean of its divisors is an integer number (3557250).

Almost surely, 2^87090920 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 87090920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113832000).

87090920 is an abundant number, since it is smaller than the sum of its proper divisors (140573080).

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

87090920 is a wasteful number, since it uses less digits than its factorization.

87090920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 87090920 is about 9332.2516039807. The cubic root of 87090920 is about 443.2590650775.

Adding to 87090920 its reverse (2909078), we get a palindrome (89999998).

The spelling of 87090920 in words is "eighty-seven million, ninety thousand, nine hundred twenty".