87959168 has 64 divisors (see below), whose sum is σ = 192780000. Its totient is φ = 39644160.

The previous prime is 87959159. The next prime is 87959177. The reversal of 87959168 is 86195978.

It is an interprime number because it is at equal distance from previous prime (87959159) and next prime (87959177).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 251858 + ... + 252206.

Almost surely, 2^87959168 is an apocalyptic number.

87959168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87959168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96390000).

87959168 is an abundant number, since it is smaller than the sum of its proper divisors (104820832).

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

87959168 is a wasteful number, since it uses less digits than its factorization.

87959168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 541 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 53.

The square root of 87959168 is about 9378.6549142188. The cubic root of 87959168 is about 444.7272123533.

The spelling of 87959168 in words is "eighty-seven million, nine hundred fifty-nine thousand, one hundred sixty-eight".