268625376 has 192 divisors, whose sum is σ = 827366400. Its totient is φ = 84672000.

The previous prime is 268625369. The next prime is 268625387. The reversal of 268625376 is 673526862.

It is a happy number.

It is a super-2 number, since 2×268625376² = 144319185262282752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (725760) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1778901 + ... + 1779051.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^268625376 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 268625376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413683200).

268625376 is an abundant number, since it is smaller than the sum of its proper divisors (558741024).

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

268625376 is a wasteful number, since it uses less digits than its factorization.

268625376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 268625376 is about 16389.7948736401. The cubic root of 268625376 is about 645.2316744828.

The spelling of 268625376 in words is "two hundred sixty-eight million, six hundred twenty-five thousand, three hundred seventy-six".