87040080 has 60 divisors (see below), whose sum is σ = 292312020. Its totient is φ = 23210496.

The previous prime is 87040069. The next prime is 87040081. The reversal of 87040080 is 8004078.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46131264 + 40908816 = 6792^2 + 6396^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87040081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59725 + ... + 61164.

It is an arithmetic number, because the mean of its divisors is an integer number (4871867).

Almost surely, 2^87040080 is an apocalyptic number.

87040080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87040080 is an abundant number, since it is smaller than the sum of its proper divisors (205271940).

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

87040080 is a wasteful number, since it uses less digits than its factorization.

87040080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120908 (or 120899 counting only the distinct ones).

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

The square root of 87040080 is about 9329.5273192161. The cubic root of 87040080 is about 443.1727963163.

The spelling of 87040080 in words is "eighty-seven million, forty thousand, eighty".