86329360 has 40 divisors (see below), whose sum is σ = 216158040. Its totient is φ = 31875072.

The previous prime is 86329357. The next prime is 86329367. The reversal of 86329360 is 6392368.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2862864 + 83466496 = 1692^2 + 9136^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86329367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40465 + ... + 42544.

It is an arithmetic number, because the mean of its divisors is an integer number (5403951).

Almost surely, 2^86329360 is an apocalyptic number.

86329360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86329360 is an abundant number, since it is smaller than the sum of its proper divisors (129828680).

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

86329360 is a wasteful number, since it uses less digits than its factorization.

86329360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83035 (or 83029 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 86329360 is about 9291.3594269084. The cubic root of 86329360 is about 441.9632655124.

The spelling of 86329360 in words is "eighty-six million, three hundred twenty-nine thousand, three hundred sixty".