268864920 has 192 divisors, whose sum is σ = 917280000. Its totient is φ = 70823808.

The previous prime is 268864907. The next prime is 268864927. The reversal of 268864920 is 29468862.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268864927) 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, 1350981 + ... + 1351179.

It is an arithmetic number, because the mean of its divisors is an integer number (4777500).

Almost surely, 2^268864920 is an apocalyptic number.

268864920 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 268864920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458640000).

268864920 is an abundant number, since it is smaller than the sum of its proper divisors (648415080).

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

268864920 is a wasteful number, since it uses less digits than its factorization.

268864920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 268864920 is about 16397.1009632801. The cubic root of 268864920 is about 645.4234104715.

The spelling of 268864920 in words is "two hundred sixty-eight million, eight hundred sixty-four thousand, nine hundred twenty".