87577000 has 64 divisors (see below), whose sum is σ = 234224640. Its totient is φ = 30024000.

The previous prime is 87576997. The next prime is 87577057. The reversal of 87577000 is 77578.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745 + ... + 13255.

It is an arithmetic number, because the mean of its divisors is an integer number (3659760).

Almost surely, 2^87577000 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 87577000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117112320).

87577000 is an abundant number, since it is smaller than the sum of its proper divisors (146647640).

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

87577000 is a wasteful number, since it uses less digits than its factorization.

87577000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12539 (or 12525 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 34.

The square root of 87577000 is about 9358.2583849774. The cubic root of 87577000 is about 444.0821886106.

The spelling of 87577000 in words is "eighty-seven million, five hundred seventy-seven thousand".