87187760 has 60 divisors (see below), whose sum is σ = 222839904. Its totient is φ = 31701120.

The previous prime is 87187753. The next prime is 87187777. The reversal of 87187760 is 6778178.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5177 + ... + 14183.

Almost surely, 2^87187760 is an apocalyptic number.

87187760 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 87187760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111419952).

87187760 is an abundant number, since it is smaller than the sum of its proper divisors (135652144).

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

87187760 is a wasteful number, since it uses less digits than its factorization.

87187760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9042 (or 9025 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 44.

The square root of 87187760 is about 9337.4386209495. The cubic root of 87187760 is about 443.4232969230.

The spelling of 87187760 in words is "eighty-seven million, one hundred eighty-seven thousand, seven hundred sixty".