268264080 has 480 divisors, whose sum is σ = 1136498688. Its totient is φ = 55296000.

The previous prime is 268264069. The next prime is 268264081. The reversal of 268264080 is 80462862.

268264080 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 640 + 8 + 0 = 666.

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 (268264081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2656030 + ... + 2656130.

Almost surely, 2^268264080 is an apocalyptic number.

268264080 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 268264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568249344).

268264080 is an abundant number, since it is smaller than the sum of its proper divisors (868234608).

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

268264080 is a wasteful number, since it uses less digits than its factorization.

268264080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 268264080 is about 16378.7691845267. The cubic root of 268264080 is about 644.9422699367.

The spelling of 268264080 in words is "two hundred sixty-eight million, two hundred sixty-four thousand, eighty".