87550960 has 80 divisors (see below), whose sum is σ = 235699200. Its totient is φ = 29622528.

The previous prime is 87550951. The next prime is 87550979. The reversal of 87550960 is 6905578.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43251 + ... + 45229.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 2^87550960 is an apocalyptic number.

87550960 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 87550960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117849600).

87550960 is an abundant number, since it is smaller than the sum of its proper divisors (148148240).

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

87550960 is a wasteful number, since it uses less digits than its factorization.

87550960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 87550960 is about 9356.8669970242. The cubic root of 87550960 is about 444.0381700269.

The spelling of 87550960 in words is "eighty-seven million, five hundred fifty thousand, nine hundred sixty".