87736768 has 112 divisors (see below), whose sum is σ = 210027520. Its totient is φ = 35582976.

The previous prime is 87736763. The next prime is 87736769. The reversal of 87736768 is 86763778.

It is a happy number.

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

Its product of digits (2370816) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87736763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110553 + ... + 1110631.

Almost surely, 2^87736768 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 87736768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105013760).

87736768 is an abundant number, since it is smaller than the sum of its proper divisors (122290752).

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

87736768 is a wasteful number, since it uses less digits than its factorization.

87736768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 52.

The square root of 87736768 is about 9366.7906990602. The cubic root of 87736768 is about 444.3520730996.

The spelling of 87736768 in words is "eighty-seven million, seven hundred thirty-six thousand, seven hundred sixty-eight".