268051440 has 80 divisors (see below), whose sum is σ = 851258016. Its totient is φ = 69734400.

The previous prime is 268051439. The next prime is 268051463. The reversal of 268051440 is 44150862.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 268051398 and 268051407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3781 + ... + 23460.

Almost surely, 2^268051440 is an apocalyptic number.

268051440 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 268051440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425629008).

268051440 is an abundant number, since it is smaller than the sum of its proper divisors (583206576).

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

268051440 is a wasteful number, since it uses less digits than its factorization.

268051440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27298 (or 27292 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 268051440 is about 16372.2765674173. The cubic root of 268051440 is about 644.7718200140.

The spelling of 268051440 in words is "two hundred sixty-eight million, fifty-one thousand, four hundred forty".