1267345440 has 120 divisors (see below), whose sum is σ = 4472719020. Its totient is φ = 337955328.

The previous prime is 1267345439. The next prime is 1267345447. The reversal of 1267345440 is 445437621.

It can be written as a sum of positive squares in 2 ways, for example, as 1262523024 + 4822416 = 35532^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 1267345395 and 1267345404.

It is not an unprimeable number, because it can be changed into a prime (1267345447) 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, 35935 + ... + 61854.

Almost surely, 2^1267345440 is an apocalyptic number.

1267345440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1267345440 is an abundant number, since it is smaller than the sum of its proper divisors (3205373580).

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

1267345440 is an equidigital number, since it uses as much as digits as its factorization.

1267345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97816 (or 97799 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 1267345440 is about 35599.7955050306. The cubic root of 1267345440 is about 1082.1770899025.

The spelling of 1267345440 in words is "one billion, two hundred sixty-seven million, three hundred forty-five thousand, four hundred forty".