86229360 has 200 divisors, whose sum is σ = 342451296. Its totient is φ = 19699200.

The previous prime is 86229359. The next prime is 86229361. The reversal of 86229360 is 6392268.

It is an interprime number because it is at equal distance from previous prime (86229359) and next prime (86229361).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86229361) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 44410 + ... + 46310.

Almost surely, 2^86229360 is an apocalyptic number.

86229360 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 86229360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171225648).

86229360 is an abundant number, since it is smaller than the sum of its proper divisors (256221936).

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

86229360 is a wasteful number, since it uses less digits than its factorization.

86229360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 86229360 is about 9285.9765237696. The cubic root of 86229360 is about 441.7925495376.

The spelling of 86229360 in words is "eighty-six million, two hundred twenty-nine thousand, three hundred sixty".