987097886784 has 105 divisors (see below), whose sum is σ = 2926279430767. Its totient is φ = 329008784256.

The previous prime is 987097886771. The next prime is 987097886791. The reversal of 987097886784 is 487688790789.

It is a happy number.

The square root of 987097886784 is 993528.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 71527117 + ... + 71540915.

Almost surely, 2^987097886784 is an apocalyptic number.

987097886784 is the 993528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987097886784

987097886784 is an abundant number, since it is smaller than the sum of its proper divisors (1939181543983).

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

987097886784 is an frugal number, since it uses more digits than its factorization.

987097886784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27622 (or 13804 counting only the distinct ones).

The product of its (nonzero) digits is 2731180032, while the sum is 81.

Multiplying 987097886784 by its sum of digits (81), we get a square (79954928829504 = 8941752²).

987097886784 divided by its sum of digits (81) gives a square (12186393664 = 110392²).

The spelling of 987097886784 in words is "nine hundred eighty-seven billion, ninety-seven million, eight hundred eighty-six thousand, seven hundred eighty-four".