86148792 has 128 divisors (see below), whose sum is σ = 262440000. Its totient is φ = 26062848.

The previous prime is 86148767. The next prime is 86148841. The reversal of 86148792 is 29784168.

86148792 is a `hidden beast` number, since 86 + 1 + 487 + 92 = 666.

It is a super-2 number, since 2×86148792² = 14843228726118528, 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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106084 + ... + 106892.

Almost surely, 2^86148792 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 86148792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131220000).

86148792 is an abundant number, since it is smaller than the sum of its proper divisors (176291208).

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

86148792 is a wasteful number, since it uses less digits than its factorization.

86148792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 860 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 86148792 is about 9281.6373555532. The cubic root of 86148792 is about 441.6549110593.

The spelling of 86148792 in words is "eighty-six million, one hundred forty-eight thousand, seven hundred ninety-two".