87561000 has 320 divisors, whose sum is σ = 326177280. Its totient is φ = 21859200.

The previous prime is 87560983. The next prime is 87561007. The reversal of 87561000 is 16578.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87561007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1862977 + ... + 1863023.

It is an arithmetic number, because the mean of its divisors is an integer number (1019304).

Almost surely, 2^87561000 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 87561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163088640).

87561000 is an abundant number, since it is smaller than the sum of its proper divisors (238616280).

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

87561000 is a wasteful number, since it uses less digits than its factorization.

87561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 87561000 is about 9357.4034860104. The cubic root of 87561000 is about 444.0551428955.

Adding to 87561000 its reverse (16578), we get a palindrome (87577578).

The spelling of 87561000 in words is "eighty-seven million, five hundred sixty-one thousand".