363249068 has 96 divisors (see below), whose sum is σ = 839946240. Its totient is φ = 133436160.

The previous prime is 363249001. The next prime is 363249077. The reversal of 363249068 is 860942363.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366053 + ... + 367043.

It is an arithmetic number, because the mean of its divisors is an integer number (8749440).

Almost surely, 2^363249068 is an apocalyptic number.

363249068 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363249068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419973120).

363249068 is an abundant number, since it is smaller than the sum of its proper divisors (476697172).

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

363249068 is a wasteful number, since it uses less digits than its factorization.

363249068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The square root of 363249068 is about 19059.0941022914. The cubic root of 363249068 is about 713.5123636196.

The spelling of 363249068 in words is "three hundred sixty-three million, two hundred forty-nine thousand, sixty-eight".