1267675416 has 192 divisors, whose sum is σ = 4043520000. Its totient is φ = 351318528.

The previous prime is 1267675403. The next prime is 1267675501. The reversal of 1267675416 is 6145767621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2646265 + ... + 2646743.

It is an arithmetic number, because the mean of its divisors is an integer number (21060000).

Almost surely, 2^1267675416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1267675416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021760000).

1267675416 is an abundant number, since it is smaller than the sum of its proper divisors (2775844584).

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

1267675416 is a wasteful number, since it uses less digits than its factorization.

1267675416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 639 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 1267675416 is about 35604.4297244037. The cubic root of 1267675416 is about 1082.2710031243.

The spelling of 1267675416 in words is "one billion, two hundred sixty-seven million, six hundred seventy-five thousand, four hundred sixteen".