87008940 has 108 divisors (see below), whose sum is σ = 273257712. Its totient is φ = 22409280.

The previous prime is 87008927. The next prime is 87008959. The reversal of 87008940 is 4980078.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87008895 and 87008904.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172729 + ... + 173231.

It is an arithmetic number, because the mean of its divisors is an integer number (2530164).

Almost surely, 2^87008940 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 87008940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136628856).

87008940 is an abundant number, since it is smaller than the sum of its proper divisors (186248772).

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

87008940 is a wasteful number, since it uses less digits than its factorization.

87008940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 87008940 is about 9327.8582750812. The cubic root of 87008940 is about 443.1199392609.

The spelling of 87008940 in words is "eighty-seven million, eight thousand, nine hundred forty".