86274048 has 208 divisors, whose sum is σ = 283080960. Its totient is φ = 22806528.

The previous prime is 86274007. The next prime is 86274049. The reversal of 86274048 is 84047268.

It is a super-2 number, since 2×86274048² = 14886422716612608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86273997 and 86274015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86274049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1462243 + ... + 1462301.

Almost surely, 2^86274048 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 86274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141540480).

86274048 is an abundant number, since it is smaller than the sum of its proper divisors (196806912).

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

86274048 is a wasteful number, since it uses less digits than its factorization.

86274048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 86274048 is about 9288.3824210677. The cubic root of 86274048 is about 441.8688553956.

The spelling of 86274048 in words is "eighty-six million, two hundred seventy-four thousand, forty-eight".