268005348 has 60 divisors (see below), whose sum is σ = 754524540. Its totient is φ = 82461888.

The previous prime is 268005343. The next prime is 268005359. The reversal of 268005348 is 843500862.

It can be written as a sum of positive squares in 2 ways, for example, as 68856804 + 199148544 = 8298^2 + 14112^2 .

It is a super-2 number, since 2×268005348² = 143653733113202208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268005343) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27603 + ... + 36026.

It is an arithmetic number, because the mean of its divisors is an integer number (12575409).

Almost surely, 2^268005348 is an apocalyptic number.

It is an amenable number.

268005348 is an abundant number, since it is smaller than the sum of its proper divisors (486519192).

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

268005348 is a wasteful number, since it uses less digits than its factorization.

268005348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63658 (or 63647 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 268005348 is about 16370.8688834771. The cubic root of 268005348 is about 644.7348612791.

The spelling of 268005348 in words is "two hundred sixty-eight million, five thousand, three hundred forty-eight".