249601968 has 120 divisors (see below), whose sum is σ = 870944256. Its totient is φ = 64828800.

The previous prime is 249601951. The next prime is 249601981. The reversal of 249601968 is 869106942.

It is a happy number.

It is a super-2 number, since 2×249601968² = 124602284858946048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168 + ... + 22343.

Almost surely, 2^249601968 is an apocalyptic number.

249601968 is a gapful number since it is divisible by the number (28) 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 249601968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435472128).

249601968 is an abundant number, since it is smaller than the sum of its proper divisors (621342288).

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

249601968 is a wasteful number, since it uses less digits than its factorization.

249601968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22543 (or 22534 counting only the distinct ones).

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

The square root of 249601968 is about 15798.7964098535. The cubic root of 249601968 is about 629.6260214302.

The spelling of 249601968 in words is "two hundred forty-nine million, six hundred one thousand, nine hundred sixty-eight".