86129480 has 64 divisors (see below), whose sum is σ = 214151040. Its totient is φ = 31009792.

The previous prime is 86129471. The next prime is 86129539. The reversal of 86129480 is 8492168.

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 15 ways as a sum of consecutive naturals, for example, 12887 + ... + 18393.

It is an arithmetic number, because the mean of its divisors is an integer number (3346110).

Almost surely, 2^86129480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86129480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107075520).

86129480 is an abundant number, since it is smaller than the sum of its proper divisors (128021560).

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

86129480 is a wasteful number, since it uses less digits than its factorization.

86129480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 86129480 is about 9280.5969635579. The cubic root of 86129480 is about 441.6219066226.

The spelling of 86129480 in words is "eighty-six million, one hundred twenty-nine thousand, four hundred eighty".