268802240 has 224 divisors, whose sum is σ = 780288000. Its totient is φ = 88058880.

The previous prime is 268802239. The next prime is 268802251. The reversal of 268802240 is 42208862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-4 number, since 4×268802240⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 268802197 and 268802206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3402521 + ... + 3402599.

Almost surely, 2^268802240 is an apocalyptic number.

268802240 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 268802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390144000).

268802240 is an abundant number, since it is smaller than the sum of its proper divisors (511485760).

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

268802240 is an equidigital number, since it uses as much as digits as its factorization.

268802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 268802240 is about 16395.1895383981. The cubic root of 268802240 is about 645.3732511033.

The spelling of 268802240 in words is "two hundred sixty-eight million, eight hundred two thousand, two hundred forty".