268122400 has 288 divisors, whose sum is σ = 839946240. Its totient is φ = 81285120.

The previous prime is 268122397. The next prime is 268122401. The reversal of 268122400 is 4221862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (268122401) 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, 2111137 + ... + 2111263.

It is an arithmetic number, because the mean of its divisors is an integer number (2916480).

Almost surely, 2^268122400 is an apocalyptic number.

268122400 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 268122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419973120).

268122400 is an abundant number, since it is smaller than the sum of its proper divisors (571823840).

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

268122400 is a wasteful number, since it uses less digits than its factorization.

268122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 268122400 is about 16374.4435019942. The cubic root of 268122400 is about 644.8287108003.

The spelling of 268122400 in words is "two hundred sixty-eight million, one hundred twenty-two thousand, four hundred".