86729120 has 48 divisors (see below), whose sum is σ = 206818920. Its totient is φ = 34366464.

The previous prime is 86729119. The next prime is 86729131. The reversal of 86729120 is 2192768.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79780624 + 6948496 = 8932^2 + 2636^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14954 + ... + 19926.

Almost surely, 2^86729120 is an apocalyptic number.

86729120 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 86729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103409460).

86729120 is an abundant number, since it is smaller than the sum of its proper divisors (120089800).

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

86729120 is a wasteful number, since it uses less digits than its factorization.

86729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 86729120 is about 9312.8470405134. The cubic root of 86729120 is about 442.6444058256.

The spelling of 86729120 in words is "eighty-six million, seven hundred twenty-nine thousand, one hundred twenty".