249082086 has 64 divisors (see below), whose sum is σ = 571815936. Its totient is φ = 71635200.

The previous prime is 249082063. The next prime is 249082103. The reversal of 249082086 is 680280942.

It is a super-2 number, since 2×249082086² = 124083771132222792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107290 + ... + 109586.

It is an arithmetic number, because the mean of its divisors is an integer number (8934624).

Almost surely, 2^249082086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249082086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285907968).

249082086 is an abundant number, since it is smaller than the sum of its proper divisors (322733850).

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

249082086 is a wasteful number, since it uses less digits than its factorization.

249082086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397.

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 249082086 is about 15782.3346181736. The cubic root of 249082086 is about 629.1885799559.

The spelling of 249082086 in words is "two hundred forty-nine million, eighty-two thousand, eighty-six".