87560000 has 140 divisors (see below), whose sum is σ = 238048800. Its totient is φ = 31680000.

The previous prime is 87559993. The next prime is 87560003. The reversal of 87560000 is 6578.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87560003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 439901 + ... + 440099.

Almost surely, 2^87560000 is an apocalyptic number.

87560000 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 87560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119024400).

87560000 is an abundant number, since it is smaller than the sum of its proper divisors (150488800).

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

87560000 is a wasteful number, since it uses less digits than its factorization.

87560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 87560000 is about 9357.3500522317. The cubic root of 87560000 is about 444.0534524290.

Adding to 87560000 its reverse (6578), we get a palindrome (87566578).

The spelling of 87560000 in words is "eighty-seven million, five hundred sixty thousand".