86153008 has 40 divisors (see below), whose sum is σ = 178368048. Its totient is φ = 40169472.

The previous prime is 86152993. The next prime is 86153027. The reversal of 86153008 is 80035168.

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 7 ways as a sum of consecutive naturals, for example, 29335 + ... + 32137.

Almost surely, 2^86153008 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 86153008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89184024).

86153008 is an abundant number, since it is smaller than the sum of its proper divisors (92215040).

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

86153008 is a wasteful number, since it uses less digits than its factorization.

86153008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 86153008 is about 9281.8644678750. The cubic root of 86153008 is about 441.6621155973.

The spelling of 86153008 in words is "eighty-six million, one hundred fifty-three thousand, eight".