86268192 has 48 divisors (see below), whose sum is σ = 227852352. Its totient is φ = 28578560.

The previous prime is 86268187. The next prime is 86268197. The reversal of 86268192 is 29186268.

It is an interprime number because it is at equal distance from previous prime (86268187) and next prime (86268197).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (86268197) 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, 13342 + ... + 18722.

It is an arithmetic number, because the mean of its divisors is an integer number (4746924).

Almost surely, 2^86268192 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 86268192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113926176).

86268192 is an abundant number, since it is smaller than the sum of its proper divisors (141584160).

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

86268192 is a wasteful number, since it uses less digits than its factorization.

86268192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5553 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 86268192 is about 9288.0671832196. The cubic root of 86268192 is about 441.8588576322.

It can be divided in two parts, 86 and 268192, that added together give a triangular number (268278 = T₇₃₂).

The spelling of 86268192 in words is "eighty-six million, two hundred sixty-eight thousand, one hundred ninety-two".