87665760 has 384 divisors, whose sum is σ = 379330560. Its totient is φ = 18413568.

The previous prime is 87665741. The next prime is 87665779. The reversal of 87665760 is 6756678.

87665760 is a `hidden beast` number, since 8 + 76 + 6 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87665741) and next prime (87665779).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393009 + ... + 393231.

It is an arithmetic number, because the mean of its divisors is an integer number (987840).

Almost surely, 2^87665760 is an apocalyptic number.

87665760 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 87665760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189665280).

87665760 is an abundant number, since it is smaller than the sum of its proper divisors (291664800).

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

87665760 is a wasteful number, since it uses less digits than its factorization.

87665760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 87665760 is about 9362.9995193848. Note that the first 3 decimals coincide. The cubic root of 87665760 is about 444.2321649216.

The spelling of 87665760 in words is "eighty-seven million, six hundred sixty-five thousand, seven hundred sixty".