87988961 has 8 divisors (see below), whose sum is σ = 91950144. Its totient is φ = 84039120.

The previous prime is 87988949. The next prime is 87989009. The reversal of 87988961 is 16988978.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 87988961 - 2⁶ = 87988897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87988897 and 87988906.

It is not an unprimeable number, because it can be changed into a prime (87988921) 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, 15671 + ... + 20531.

It is an arithmetic number, because the mean of its divisors is an integer number (11493768).

Almost surely, 2^87988961 is an apocalyptic number.

It is an amenable number.

87988961 is a deficient number, since it is larger than the sum of its proper divisors (3961183).

87988961 is a wasteful number, since it uses less digits than its factorization.

87988961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5671.

The product of its digits is 1741824, while the sum is 56.

The square root of 87988961 is about 9380.2431205167. The cubic root of 87988961 is about 444.7774184602. Note that the first 3 decimals are identical.

The spelling of 87988961 in words is "eighty-seven million, nine hundred eighty-eight thousand, nine hundred sixty-one".