268472160 has 288 divisors, whose sum is σ = 1059301152. Its totient is φ = 61194240.

The previous prime is 268472159. The next prime is 268472161. The reversal of 268472160 is 61274862.

268472160 is a `hidden beast` number, since 26 + 8 + 472 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (268472159) and next prime (268472161).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268472161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268782 + ... + 269778.

It is an arithmetic number, because the mean of its divisors is an integer number (3678129).

Almost surely, 2^268472160 is an apocalyptic number.

268472160 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 268472160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529650576).

268472160 is an abundant number, since it is smaller than the sum of its proper divisors (790828992).

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

268472160 is a wasteful number, since it uses less digits than its factorization.

268472160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 268472160 is about 16385.1200789009. The cubic root of 268472160 is about 645.1089774400.

The spelling of 268472160 in words is "two hundred sixty-eight million, four hundred seventy-two thousand, one hundred sixty".