87410580 has 96 divisors (see below), whose sum is σ = 258418944. Its totient is φ = 22032384.

The previous prime is 87410579. The next prime is 87410597. The reversal of 87410580 is 8501478.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133534 + ... + 134186.

It is an arithmetic number, because the mean of its divisors is an integer number (2691864).

Almost surely, 2^87410580 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 87410580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129209472).

87410580 is an abundant number, since it is smaller than the sum of its proper divisors (171008364).

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

87410580 is a wasteful number, since it uses less digits than its factorization.

87410580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 87410580 is about 9349.3625451150. The cubic root of 87410580 is about 443.8007181334.

It can be divided in two parts, 87410 and 580, that added together give a triangular number (87990 = T₄₁₉).

The spelling of 87410580 in words is "eighty-seven million, four hundred ten thousand, five hundred eighty".