268692144 has 40 divisors (see below), whose sum is σ = 793282560. Its totient is φ = 76769088.

The previous prime is 268692133. The next prime is 268692161. The reversal of 268692144 is 441296862.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 268692096 and 268692105.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 399504 + ... + 400175.

It is an arithmetic number, because the mean of its divisors is an integer number (19832064).

Almost surely, 2^268692144 is an apocalyptic number.

268692144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268692144 is an abundant number, since it is smaller than the sum of its proper divisors (524590416).

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

268692144 is a wasteful number, since it uses less digits than its factorization.

268692144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799697 (or 799691 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 268692144 is about 16391.8316243183. The cubic root of 268692144 is about 645.2851284296.

It can be divided in two parts, 2686 and 92144, that added together give a triangular number (94830 = T₄₃₅).

The spelling of 268692144 in words is "two hundred sixty-eight million, six hundred ninety-two thousand, one hundred forty-four".