987153680 has 40 divisors (see below), whose sum is σ = 2296858200. Its totient is φ = 394564608.

The previous prime is 987153619. The next prime is 987153689. The reversal of 987153680 is 86351789.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 622801936 + 364351744 = 24956^2 + 19088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (987153689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124886 + ... + 132554.

It is an arithmetic number, because the mean of its divisors is an integer number (57421455).

Almost surely, 2^987153680 is an apocalyptic number.

It is an amenable number.

987153680 is an abundant number, since it is smaller than the sum of its proper divisors (1309704520).

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

987153680 is a wasteful number, since it uses less digits than its factorization.

987153680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9291 (or 9285 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 987153680 is about 31419.0018937585. The cubic root of 987153680 is about 995.6994249001.

The spelling of 987153680 in words is "nine hundred eighty-seven million, one hundred fifty-three thousand, six hundred eighty".