86613120 has 192 divisors, whose sum is σ = 326514240. Its totient is φ = 20981760.

The previous prime is 86613097. The next prime is 86613127. The reversal of 86613120 is 2131668.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×86613120² = 15003665112268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86613127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62677 + ... + 64043.

It is an arithmetic number, because the mean of its divisors is an integer number (1700595).

Almost surely, 2^86613120 is an apocalyptic number.

86613120 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 86613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163257120).

86613120 is an abundant number, since it is smaller than the sum of its proper divisors (239901120).

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

86613120 is a wasteful number, since it uses less digits than its factorization.

86613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 86613120 is about 9306.6170008226. The cubic root of 86613120 is about 442.4469724831.

Adding to 86613120 its reverse (2131668), we get a palindrome (88744788).

It can be divided in two parts, 8661 and 3120, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 86613120 in words is "eighty-six million, six hundred thirteen thousand, one hundred twenty".