1267766040 has 128 divisors (see below), whose sum is σ = 3889036800. Its totient is φ = 330516480.

The previous prime is 1267766023. The next prime is 1267766047. The reversal of 1267766040 is 406677621.

It is a self number, because there is not a number n which added to its sum of digits gives 1267766040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267766047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1705909 + ... + 1706651.

It is an arithmetic number, because the mean of its divisors is an integer number (30383100).

Almost surely, 2^1267766040 is an apocalyptic number.

1267766040 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 1267766040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944518400).

1267766040 is an abundant number, since it is smaller than the sum of its proper divisors (2621270760).

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

1267766040 is a wasteful number, since it uses less digits than its factorization.

1267766040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 1267766040 is about 35605.7023522918. The cubic root of 1267766040 is about 1082.2967924258.

The spelling of 1267766040 in words is "one billion, two hundred sixty-seven million, seven hundred sixty-six thousand, forty".