87071760 has 140 divisors (see below), whose sum is σ = 303727212. Its totient is φ = 23203584.

The previous prime is 87071749. The next prime is 87071779. The reversal of 87071760 is 6717078.

It can be written as a sum of positive squares in 2 ways, for example, as 55532304 + 31539456 = 7452^2 + 5616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57574 + ... + 59066.

Almost surely, 2^87071760 is an apocalyptic number.

87071760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87071760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151863606).

87071760 is an abundant number, since it is smaller than the sum of its proper divisors (216655452).

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

87071760 is a wasteful number, since it uses less digits than its factorization.

87071760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 87071760 is about 9331.2249999665. The cubic root of 87071760 is about 443.2265570327.

The spelling of 87071760 in words is "eighty-seven million, seventy-one thousand, seven hundred sixty".