87418760 has 256 divisors, whose sum is σ = 261273600. Its totient is φ = 25804800.

The previous prime is 87418711. The next prime is 87418769. The reversal of 87418760 is 6781478.

87418760 = 80² + 81² + ... + 640².

It is not an unprimeable number, because it can be changed into a prime (87418769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2819945 + ... + 2819975.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^87418760 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 87418760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

87418760 is an abundant number, since it is smaller than the sum of its proper divisors (173854840).

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

87418760 is a wasteful number, since it uses less digits than its factorization.

87418760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 87418760 is about 9349.7999978609. The cubic root of 87418760 is about 443.8145615249.

The spelling of 87418760 in words is "eighty-seven million, four hundred eighteen thousand, seven hundred sixty".