86338560 has 352 divisors, whose sum is σ = 349005312. Its totient is φ = 17694720.

The previous prime is 86338559. The next prime is 86338583. The reversal of 86338560 is 6583368.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182684 + ... + 1182756.

Almost surely, 2^86338560 is an apocalyptic number.

86338560 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 86338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174502656).

86338560 is an abundant number, since it is smaller than the sum of its proper divisors (262666752).

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

86338560 is a wasteful number, since it uses less digits than its factorization.

86338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 86338560 is about 9291.8544973541. The cubic root of 86338560 is about 441.9789647586.

The spelling of 86338560 in words is "eighty-six million, three hundred thirty-eight thousand, five hundred sixty".