86229760 has 144 divisors (see below), whose sum is σ = 225167040. Its totient is φ = 31539200.

The previous prime is 86229751. The next prime is 86229811. The reversal of 86229760 is 6792268.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 853710 + ... + 853810.

It is an arithmetic number, because the mean of its divisors is an integer number (1563660).

Almost surely, 2^86229760 is an apocalyptic number.

86229760 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 86229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112583520).

86229760 is an abundant number, since it is smaller than the sum of its proper divisors (138937280).

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

86229760 is a wasteful number, since it uses less digits than its factorization.

86229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 86229760 is about 9285.9980615979. The cubic root of 86229760 is about 441.7932326644.

The spelling of 86229760 in words is "eighty-six million, two hundred twenty-nine thousand, seven hundred sixty".