249160968 has 64 divisors (see below), whose sum is σ = 790992000. Its totient is φ = 71188416.

The previous prime is 249160913. The next prime is 249160969. The reversal of 249160968 is 869061942.

It is a happy number.

249160968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (249160969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80883 + ... + 83906.

It is an arithmetic number, because the mean of its divisors is an integer number (12359250).

Almost surely, 2^249160968 is an apocalyptic number.

249160968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

249160968 is an abundant number, since it is smaller than the sum of its proper divisors (541831032).

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

249160968 is a wasteful number, since it uses less digits than its factorization.

249160968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164811 (or 164801 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 249160968 is about 15784.8334802747. The cubic root of 249160968 is about 629.2549923530.

The spelling of 249160968 in words is "two hundred forty-nine million, one hundred sixty thousand, nine hundred sixty-eight".