268382100 has 144 divisors (see below), whose sum is σ = 892942848. Its totient is φ = 60965760.

The previous prime is 268382063. The next prime is 268382113. The reversal of 268382100 is 1283862.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476419 + ... + 476981.

It is an arithmetic number, because the mean of its divisors is an integer number (6200992).

Almost surely, 2^268382100 is an apocalyptic number.

268382100 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 268382100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446471424).

268382100 is an abundant number, since it is smaller than the sum of its proper divisors (624560748).

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

268382100 is a wasteful number, since it uses less digits than its factorization.

268382100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 268382100 is about 16382.3716231808. The cubic root of 268382100 is about 645.0368346250.

The spelling of 268382100 in words is "two hundred sixty-eight million, three hundred eighty-two thousand, one hundred".