86736896 has 32 divisors (see below), whose sum is σ = 173536680. Its totient is φ = 43352064.

The previous prime is 86736889. The next prime is 86736899. The reversal of 86736896 is 69863768.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86736899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31445 + ... + 34091.

Almost surely, 2^86736896 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 86736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86768340).

86736896 is an abundant number, since it is smaller than the sum of its proper divisors (86799784).

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

86736896 is an frugal number, since it uses more digits than its factorization.

86736896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2649 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 53.

The square root of 86736896 is about 9313.2645189536. The cubic root of 86736896 is about 442.6576343700.

The spelling of 86736896 in words is "eighty-six million, seven hundred thirty-six thousand, eight hundred ninety-six".