987958080 has 224 divisors, whose sum is σ = 3606393600. Its totient is φ = 254306304.

The previous prime is 987958073. The next prime is 987958087. The reversal of 987958080 is 80859789.

It is an interprime number because it is at equal distance from previous prime (987958073) and next prime (987958087).

It is a super-2 number, since 2×987958080² = 1952122335674572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987958087) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 248589 + ... + 252531.

Almost surely, 2^987958080 is an apocalyptic number.

987958080 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 987958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803196800).

987958080 is an abundant number, since it is smaller than the sum of its proper divisors (2618435520).

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

987958080 is a wasteful number, since it uses less digits than its factorization.

987958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 987958080 is about 31431.8004574985. The cubic root of 987958080 is about 995.9698060233.

The spelling of 987958080 in words is "nine hundred eighty-seven million, nine hundred fifty-eight thousand, eighty".