86890768 has 40 divisors (see below), whose sum is σ = 174988800. Its totient is φ = 41752320.

The previous prime is 86890753. The next prime is 86890787. The reversal of 86890768 is 86709868.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82308 + ... + 83356.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2^86890768 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 86890768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

86890768 is an abundant number, since it is smaller than the sum of its proper divisors (88098032).

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

86890768 is a wasteful number, since it uses less digits than its factorization.

86890768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The square root of 86890768 is about 9321.5217641756. The cubic root of 86890768 is about 442.9192392189.

The spelling of 86890768 in words is "eighty-six million, eight hundred ninety thousand, seven hundred sixty-eight".