87580040 has 32 divisors (see below), whose sum is σ = 197921880. Its totient is φ = 34877952.

The previous prime is 87580037. The next prime is 87580043. The reversal of 87580040 is 4008578.

It is an interprime number because it is at equal distance from previous prime (87580037) and next prime (87580043).

It can be written as a sum of positive squares in 4 ways, for example, as 27269284 + 60310756 = 5222^2 + 7766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 87579979 and 87580006.

It is not an unprimeable number, because it can be changed into a prime (87580043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4622 + ... + 14018.

Almost surely, 2^87580040 is an apocalyptic number.

It is an amenable number.

87580040 is an abundant number, since it is smaller than the sum of its proper divisors (110341840).

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

87580040 is a wasteful number, since it uses less digits than its factorization.

87580040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9641 (or 9637 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 87580040 is about 9358.4208069524. The cubic root of 87580040 is about 444.0873269241.

The spelling of 87580040 in words is "eighty-seven million, five hundred eighty thousand, forty".