987075180 has 384 divisors, whose sum is σ = 3861043200. Its totient is φ = 203793408.

The previous prime is 987075179. The next prime is 987075181. The reversal of 987075180 is 81570789.

It is an interprime number because it is at equal distance from previous prime (987075179) and next prime (987075181).

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 (987075181) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2604231 + ... + 2604609.

It is an arithmetic number, because the mean of its divisors is an integer number (10054800).

Almost surely, 2^987075180 is an apocalyptic number.

987075180 is a gapful number since it is divisible by the number (90) 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 987075180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930521600).

987075180 is an abundant number, since it is smaller than the sum of its proper divisors (2873968020).

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

987075180 is a wasteful number, since it uses less digits than its factorization.

987075180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The square root of 987075180 is about 31417.7526249094. The cubic root of 987075180 is about 995.6730310102.

The spelling of 987075180 in words is "nine hundred eighty-seven million, seventy-five thousand, one hundred eighty".