1267865280 has 336 divisors, whose sum is σ = 4914643968. Its totient is φ = 297216000.

The previous prime is 1267865237. The next prime is 1267865281. The reversal of 1267865280 is 825687621.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1267865281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981435 + ... + 982725.

Almost surely, 2^1267865280 is an apocalyptic number.

1267865280 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 1267865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457321984).

1267865280 is an abundant number, since it is smaller than the sum of its proper divisors (3646778688).

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

1267865280 is a wasteful number, since it uses less digits than its factorization.

1267865280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1267865280 is about 35607.0959220209. The cubic root of 1267865280 is about 1082.3250322134.

The spelling of 1267865280 in words is "one billion, two hundred sixty-seven million, eight hundred sixty-five thousand, two hundred eighty".