300001968 has 240 divisors, whose sum is σ = 1015379456. Its totient is φ = 83980800.

The previous prime is 300001967. The next prime is 300001969. The reversal of 300001968 is 869100003.

It is an interprime number because it is at equal distance from previous prime (300001967) and next prime (300001969).

It is a super-3 number, since 3×300001968³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300001967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1986693 + ... + 1986843.

Almost surely, 2^300001968 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 300001968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507689728).

300001968 is an abundant number, since it is smaller than the sum of its proper divisors (715377488).

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

300001968 is a wasteful number, since it uses less digits than its factorization.

300001968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 300001968 is about 17320.5648868621. The cubic root of 300001968 is about 669.4344139057.

The spelling of 300001968 in words is "three hundred million, one thousand, nine hundred sixty-eight".