86129248 has 48 divisors (see below), whose sum is σ = 173746944. Its totient is φ = 42017920.

The previous prime is 86129243. The next prime is 86129279. The reversal of 86129248 is 84292168.

It is a super-2 number, since 2×86129248² = 14836494722091008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86129248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86129243) 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, 379311 + ... + 379537.

It is an arithmetic number, because the mean of its divisors is an integer number (3619728).

Almost surely, 2^86129248 is an apocalyptic number.

It is an amenable number.

86129248 is an abundant number, since it is smaller than the sum of its proper divisors (87617696).

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

86129248 is a wasteful number, since it uses less digits than its factorization.

86129248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 86129248 is about 9280.5844643535. The cubic root of 86129248 is about 441.6215101019.

The spelling of 86129248 in words is "eighty-six million, one hundred twenty-nine thousand, two hundred forty-eight".