86119488 has 336 divisors, whose sum is σ = 319527936. Its totient is φ = 21565440.

The previous prime is 86119471. The next prime is 86119499. The reversal of 86119488 is 88491168.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1624870 + ... + 1624922.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 2^86119488 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 86119488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159763968).

86119488 is an abundant number, since it is smaller than the sum of its proper divisors (233408448).

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

86119488 is a wasteful number, since it uses less digits than its factorization.

86119488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 86119488 is about 9280.0586205045. The cubic root of 86119488 is about 441.6048282396.

The spelling of 86119488 in words is "eighty-six million, one hundred nineteen thousand, four hundred eighty-eight".