87526980 has 120 divisors (see below), whose sum is σ = 277904088. Its totient is φ = 23058432.

The previous prime is 87526979. The next prime is 87526993. The reversal of 87526980 is 8962578.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 87272964 = 504^2 + 9342^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 156862 + ... + 157418.

Almost surely, 2^87526980 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 87526980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138952044).

87526980 is an abundant number, since it is smaller than the sum of its proper divisors (190377108).

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

87526980 is a wasteful number, since it uses less digits than its factorization.

87526980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 87526980 is about 9355.5854974448. The cubic root of 87526980 is about 443.9976259917.

The spelling of 87526980 in words is "eighty-seven million, five hundred twenty-six thousand, nine hundred eighty".