268746640 has 40 divisors (see below), whose sum is σ = 657725760. Its totient is φ = 101840256.

The previous prime is 268746637. The next prime is 268746649. The reversal of 268746640 is 46647862.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×268746640² = 144449513022579200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268746649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86884 + ... + 89923.

It is an arithmetic number, because the mean of its divisors is an integer number (16443144).

Almost surely, 2^268746640 is an apocalyptic number.

268746640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268746640 is an abundant number, since it is smaller than the sum of its proper divisors (388979120).

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

268746640 is a wasteful number, since it uses less digits than its factorization.

268746640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176839 (or 176833 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 268746640 is about 16393.4938313954. The cubic root of 268746640 is about 645.3287509446.

The spelling of 268746640 in words is "two hundred sixty-eight million, seven hundred forty-six thousand, six hundred forty".