268407072 has 144 divisors (see below), whose sum is σ = 810875520. Its totient is φ = 83980800.

The previous prime is 268407071. The next prime is 268407077. The reversal of 268407072 is 270704862.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×268407072² = 144084712599226368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (268407071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 990297 + ... + 990567.

It is an arithmetic number, because the mean of its divisors is an integer number (5631080).

Almost surely, 2^268407072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268407072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405437760).

268407072 is an abundant number, since it is smaller than the sum of its proper divisors (542468448).

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

268407072 is a wasteful number, since it uses less digits than its factorization.

268407072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 268407072 is about 16383.1337661633. The cubic root of 268407072 is about 645.0568401324.

The spelling of 268407072 in words is "two hundred sixty-eight million, four hundred seven thousand, seventy-two".