1268660640 has 96 divisors (see below), whose sum is σ = 4303708416. Its totient is φ = 312284160.

The previous prime is 1268660639. The next prime is 1268660641. The reversal of 1268660640 is 460668621.

It is an interprime number because it is at equal distance from previous prime (1268660639) and next prime (1268660641).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1268660641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95416 + ... + 107895.

It is an arithmetic number, because the mean of its divisors is an integer number (44830296).

Almost surely, 2^1268660640 is an apocalyptic number.

1268660640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268660640 is an abundant number, since it is smaller than the sum of its proper divisors (3035047776).

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

1268660640 is a wasteful number, since it uses less digits than its factorization.

1268660640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203342 (or 203334 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1268660640 is about 35618.2627313574. The cubic root of 1268660640 is about 1082.5513070672.

The spelling of 1268660640 in words is "one billion, two hundred sixty-eight million, six hundred sixty thousand, six hundred forty".