268157440 has 120 divisors (see below), whose sum is σ = 670453740. Its totient is φ = 102850560.

The previous prime is 268157423. The next prime is 268157441. The reversal of 268157440 is 44751862.

268157440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 267911424 + 246016 = 16368^2 + 496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 268157440.

It is not an unprimeable number, because it can be changed into a prime (268157441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2460106 + ... + 2460214.

Almost surely, 2^268157440 is an apocalyptic number.

268157440 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 268157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335226870).

268157440 is an abundant number, since it is smaller than the sum of its proper divisors (402296300).

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

268157440 is an equidigital number, since it uses as much as digits as its factorization.

268157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 268157440 is about 16375.5134270654. The cubic root of 268157440 is about 644.8567997302.

The spelling of 268157440 in words is "two hundred sixty-eight million, one hundred fifty-seven thousand, four hundred forty".