87850980 has 240 divisors, whose sum is σ = 322646016. Its totient is φ = 19595520.

The previous prime is 87850967. The next prime is 87850981. The reversal of 87850980 is 8905878.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (87850981) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 691677 + ... + 691803.

Almost surely, 2^87850980 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 87850980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161323008).

87850980 is an abundant number, since it is smaller than the sum of its proper divisors (234795036).

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

87850980 is a wasteful number, since it uses less digits than its factorization.

87850980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 87850980 is about 9372.8853615095. The cubic root of 87850980 is about 444.5448023832.

The spelling of 87850980 in words is "eighty-seven million, eight hundred fifty thousand, nine hundred eighty".