268800540 has 96 divisors (see below), whose sum is σ = 793013760. Its totient is φ = 67896576.

The previous prime is 268800509. The next prime is 268800547. The reversal of 268800540 is 45008862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268800547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149527 + ... + 151313.

It is an arithmetic number, because the mean of its divisors is an integer number (8260560).

Almost surely, 2^268800540 is an apocalyptic number.

268800540 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 268800540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396506880).

268800540 is an abundant number, since it is smaller than the sum of its proper divisors (524213220).

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

268800540 is a wasteful number, since it uses less digits than its factorization.

268800540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 268800540 is about 16395.1376938408. The cubic root of 268800540 is about 645.3718905779.

The spelling of 268800540 in words is "two hundred sixty-eight million, eight hundred thousand, five hundred forty".