86260320 has 144 divisors (see below), whose sum is σ = 302505840. Its totient is φ = 22367232.

The previous prime is 86260303. The next prime is 86260333. The reversal of 86260320 is 2306268.

86260320 is a `hidden beast` number, since 8 + 626 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52471 + ... + 54089.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 2^86260320 is an apocalyptic number.

86260320 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 86260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151252920).

86260320 is an abundant number, since it is smaller than the sum of its proper divisors (216245520).

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

86260320 is a wasteful number, since it uses less digits than its factorization.

86260320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 86260320 is about 9287.6434040073. The cubic root of 86260320 is about 441.8454173028.

Adding to 86260320 its reverse (2306268), we get a palindrome (88566588).

The spelling of 86260320 in words is "eighty-six million, two hundred sixty thousand, three hundred twenty".