1268924240 has 80 divisors (see below), whose sum is σ = 3065756160. Its totient is φ = 487918080.

The previous prime is 1268924233. The next prime is 1268924273. The reversal of 1268924240 is 424298621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1268924240² = 3220337453719155200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1268924194 and 1268924203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387731 + ... + 390989.

It is an arithmetic number, because the mean of its divisors is an integer number (38321952).

Almost surely, 2^1268924240 is an apocalyptic number.

1268924240 is a gapful number since it is divisible by the number (10) 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 1268924240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532878080).

1268924240 is an abundant number, since it is smaller than the sum of its proper divisors (1796831920).

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

1268924240 is a wasteful number, since it uses less digits than its factorization.

1268924240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 1268924240 is about 35621.9628880835. The cubic root of 1268924240 is about 1082.6262787221.

The spelling of 1268924240 in words is "one billion, two hundred sixty-eight million, nine hundred twenty-four thousand, two hundred forty".