87734976 has 112 divisors (see below), whose sum is σ = 274563840. Its totient is φ = 24192000.

The previous prime is 87734939. The next prime is 87734987. The reversal of 87734976 is 67943778.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37851 + ... + 40101.

Almost surely, 2^87734976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137281920).

87734976 is an abundant number, since it is smaller than the sum of its proper divisors (186828864).

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

87734976 is a wasteful number, since it uses less digits than its factorization.

87734976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2292 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 51.

The square root of 87734976 is about 9366.6950414754. The cubic root of 87734976 is about 444.3490478216.

It can be divided in two parts, 877 and 34976, that added together give a palindrome (35853).

The spelling of 87734976 in words is "eighty-seven million, seven hundred thirty-four thousand, nine hundred seventy-six".