268987392 has 264 divisors, whose sum is σ = 858364416. Its totient is φ = 83939328.

The previous prime is 268987363. The next prime is 268987393. The reversal of 268987392 is 293789862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (268987393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5723113 + ... + 5723159.

Almost surely, 2^268987392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268987392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429182208).

268987392 is an abundant number, since it is smaller than the sum of its proper divisors (589377024).

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

268987392 is an equidigital number, since it uses as much as digits as its factorization.

268987392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 268987392 is about 16400.8351006892. The cubic root of 268987392 is about 645.5213956068.

The spelling of 268987392 in words is "two hundred sixty-eight million, nine hundred eighty-seven thousand, three hundred ninety-two".