1267875840 has 480 divisors, whose sum is σ = 5133671424. Its totient is φ = 259522560.

The previous prime is 1267875823. The next prime is 1267875883. The reversal of 1267875840 is 485787621.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1267875840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18923487 + ... + 18923553.

Almost surely, 2^1267875840 is an apocalyptic number.

1267875840 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 1267875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566835712).

1267875840 is an abundant number, since it is smaller than the sum of its proper divisors (3865795584).

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

1267875840 is an equidigital number, since it uses as much as digits as its factorization.

1267875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The square root of 1267875840 is about 35607.2442067622. The cubic root of 1267875840 is about 1082.3280370859.

The spelling of 1267875840 in words is "one billion, two hundred sixty-seven million, eight hundred seventy-five thousand, eight hundred forty".