86088150 has 96 divisors (see below), whose sum is σ = 242901120. Its totient is φ = 22407840.

The previous prime is 86088143. The next prime is 86088173. The reversal of 86088150 is 5188068.

It is a super-2 number, since 2×86088150² = 14822339140845000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57309 + ... + 58791.

It is an arithmetic number, because the mean of its divisors is an integer number (2530220).

Almost surely, 2^86088150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86088150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121450560).

86088150 is an abundant number, since it is smaller than the sum of its proper divisors (156812970).

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

86088150 is a wasteful number, since it uses less digits than its factorization.

86088150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 86088150 is about 9278.3700077115. The cubic root of 86088150 is about 441.5512565824.

The spelling of 86088150 in words is "eighty-six million, eighty-eight thousand, one hundred fifty".