268037640 has 256 divisors, whose sum is σ = 1019692800. Its totient is φ = 62042112.

The previous prime is 268037639. The next prime is 268037641. The reversal of 268037640 is 46730862.

268037640 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 3 + 7 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (268037639) and next prime (268037641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 268037595 and 268037604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268037641) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 238119 + ... + 239241.

It is an arithmetic number, because the mean of its divisors is an integer number (3983175).

Almost surely, 2^268037640 is an apocalyptic number.

268037640 is a gapful number since it is divisible by the number (20) 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 268037640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509846400).

268037640 is an abundant number, since it is smaller than the sum of its proper divisors (751655160).

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

268037640 is a wasteful number, since it uses less digits than its factorization.

268037640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 268037640 is about 16371.8551178539. The cubic root of 268037640 is about 644.7607549689.

It can be divided in two parts, 26803 and 7640, that added together give a palindrome (34443).

The spelling of 268037640 in words is "two hundred sixty-eight million, thirty-seven thousand, six hundred forty".