268620264 has 192 divisors, whose sum is σ = 855204480. Its totient is φ = 75264000.

The previous prime is 268620263. The next prime is 268620277. The reversal of 268620264 is 462026862.

268620264 is a `hidden beast` number, since 2 + 6 + 8 + 620 + 26 + 4 = 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 (268620263) 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, 955804 + ... + 956084.

It is an arithmetic number, because the mean of its divisors is an integer number (4454190).

Almost surely, 2^268620264 is an apocalyptic number.

268620264 is a gapful number since it is divisible by the number (24) 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 268620264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427602240).

268620264 is an abundant number, since it is smaller than the sum of its proper divisors (586584216).

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

268620264 is a wasteful number, since it uses less digits than its factorization.

268620264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 268620264 is about 16389.6389221972. The cubic root of 268620264 is about 645.2275814900.

The spelling of 268620264 in words is "two hundred sixty-eight million, six hundred twenty thousand, two hundred sixty-four".