86386880 has 56 divisors (see below), whose sum is σ = 206502000. Its totient is φ = 34421760.

The previous prime is 86386879. The next prime is 86386889. The reversal of 86386880 is 8868368.

It is a super-2 number, since 2×86386880² = 14925386072268800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86386889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159410 + ... + 159950.

Almost surely, 2^86386880 is an apocalyptic number.

86386880 is a gapful number since it is divisible by the number (80) 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 86386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103251000).

86386880 is an abundant number, since it is smaller than the sum of its proper divisors (120115120).

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

86386880 is a wasteful number, since it uses less digits than its factorization.

86386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 86386880 is about 9294.4542604717. The cubic root of 86386880 is about 442.0614016239.

The spelling of 86386880 in words is "eighty-six million, three hundred eighty-six thousand, eight hundred eighty".