87008040 has 256 divisors, whose sum is σ = 351475200. Its totient is φ = 18690048.

The previous prime is 87008039. The next prime is 87008059. The reversal of 87008040 is 4080078.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 87007995 and 87008013.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 128182 + ... + 128858.

It is an arithmetic number, because the mean of its divisors is an integer number (1372950).

Almost surely, 2^87008040 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 87008040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175737600).

87008040 is an abundant number, since it is smaller than the sum of its proper divisors (264467160).

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

87008040 is a wasteful number, since it uses less digits than its factorization.

87008040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 87008040 is about 9327.8100323709. The cubic root of 87008040 is about 443.1184114129.

The spelling of 87008040 in words is "eighty-seven million, eight thousand, forty".