268754040 has 96 divisors (see below), whose sum is σ = 881740080. Its totient is φ = 70987776.

The previous prime is 268754029. The next prime is 268754047. The reversal of 268754040 is 40457862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 268753986 and 268754004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268754047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35032 + ... + 42008.

Almost surely, 2^268754040 is an apocalyptic number.

268754040 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 268754040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440870040).

268754040 is an abundant number, since it is smaller than the sum of its proper divisors (612986040).

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

268754040 is a wasteful number, since it uses less digits than its factorization.

268754040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7101 (or 7094 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 268754040 is about 16393.7195291368. The cubic root of 268754040 is about 645.3346739816.

The spelling of 268754040 in words is "two hundred sixty-eight million, seven hundred fifty-four thousand, forty".