86793120 has 240 divisors, whose sum is σ = 316324008. Its totient is φ = 22394880.

The previous prime is 86793107. The next prime is 86793127. The reversal of 86793120 is 2139768.

It can be written as a sum of positive squares in 4 ways, for example, as 61027344 + 25765776 = 7812^2 + 5076^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86793127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 479430 + ... + 479610.

Almost surely, 2^86793120 is an apocalyptic number.

86793120 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 86793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158162004).

86793120 is an abundant number, since it is smaller than the sum of its proper divisors (229530888).

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

86793120 is a wasteful number, since it uses less digits than its factorization.

86793120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 86793120 is about 9316.2825204048. The cubic root of 86793120 is about 442.7532592169.

The spelling of 86793120 in words is "eighty-six million, seven hundred ninety-three thousand, one hundred twenty".