1267075216 has 45 divisors (see below), whose sum is σ = 2701764793. Its totient is φ = 575231360.

The previous prime is 1267075213. The next prime is 1267075217. The reversal of 1267075216 is 6125707621.

The square root of 1267075216 is 35596.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1115292816 + 151782400 = 33396^2 + 12320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1267075213) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1565820 + ... + 1566628.

Almost surely, 2^1267075216 is an apocalyptic number.

1267075216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1267075216 is the 35596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1267075216

1267075216 is an abundant number, since it is smaller than the sum of its proper divisors (1434689577).

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

1267075216 is an frugal number, since it uses more digits than its factorization.

1267075216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The cubic root of 1267075216 is about 1082.1001703300.

The spelling of 1267075216 in words is "one billion, two hundred sixty-seven million, seventy-five thousand, two hundred sixteen".