1267061952 has 168 divisors, whose sum is σ = 3845362896. Its totient is φ = 366772224.

The previous prime is 1267061923. The next prime is 1267062011. The reversal of 1267061952 is 2591607621.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1267061952.

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 23 ways as a sum of consecutive naturals, for example, 550468 + ... + 552764.

Almost surely, 2^1267061952 is an apocalyptic number.

1267061952 is a gapful number since it is divisible by the number (12) 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 1267061952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922681448).

1267061952 is an abundant number, since it is smaller than the sum of its proper divisors (2578300944).

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

1267061952 is a wasteful number, since it uses less digits than its factorization.

1267061952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1267061952 is about 35595.8136864435. The cubic root of 1267061952 is about 1082.0963944356.

It can be divided in two parts, 12 and 67061952, that multiplied together give a square (804743424 = 28368²).

The spelling of 1267061952 in words is "one billion, two hundred sixty-seven million, sixty-one thousand, nine hundred fifty-two".