1267634760 has 128 divisors (see below), whose sum is σ = 4357152000. Its totient is φ = 289013760.

The previous prime is 1267634759. The next prime is 1267634777. The reversal of 1267634760 is 674367621.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375480 + ... + 378840.

It is an arithmetic number, because the mean of its divisors is an integer number (34040250).

Almost surely, 2^1267634760 is an apocalyptic number.

1267634760 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 1267634760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178576000).

1267634760 is an abundant number, since it is smaller than the sum of its proper divisors (3089517240).

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

1267634760 is a wasteful number, since it uses less digits than its factorization.

1267634760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 1267634760 is about 35603.8587796323. The cubic root of 1267634760 is about 1082.2594330542.

The spelling of 1267634760 in words is "one billion, two hundred sixty-seven million, six hundred thirty-four thousand, seven hundred sixty".