268220160 has 360 divisors, whose sum is σ = 1038760800. Its totient is φ = 65691648.

The previous prime is 268220149. The next prime is 268220167. The reversal of 268220160 is 61022862.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268220167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347741 + ... + 1347939.

Almost surely, 2^268220160 is an apocalyptic number.

268220160 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 268220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519380400).

268220160 is an abundant number, since it is smaller than the sum of its proper divisors (770540640).

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

268220160 is a wasteful number, since it uses less digits than its factorization.

268220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 268220160 is about 16377.4283695579. The cubic root of 268220160 is about 644.9070715227.

The spelling of 268220160 in words is "two hundred sixty-eight million, two hundred twenty thousand, one hundred sixty".