87164896 has 96 divisors (see below), whose sum is σ = 217183680. Its totient is φ = 33509376.

The previous prime is 87164881. The next prime is 87164897. The reversal of 87164896 is 69846178.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87164897) 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, 107340 + ... + 108148.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2^87164896 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 87164896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108591840).

87164896 is an abundant number, since it is smaller than the sum of its proper divisors (130018784).

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

87164896 is a wasteful number, since it uses less digits than its factorization.

87164896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 868 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The square root of 87164896 is about 9336.2142220495. The cubic root of 87164896 is about 443.3845326262.

The spelling of 87164896 in words is "eighty-seven million, one hundred sixty-four thousand, eight hundred ninety-six".