1267037952 has 144 divisors (see below), whose sum is σ = 3665464320. Its totient is φ = 387072000.

The previous prime is 1267037903. The next prime is 1267038001. The reversal of 1267037952 is 2597307621.

It is an interprime number because it is at equal distance from previous prime (1267037903) and next prime (1267038001).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 450952 + ... + 453752.

Almost surely, 2^1267037952 is an apocalyptic number.

1267037952 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 1267037952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832732160).

1267037952 is an abundant number, since it is smaller than the sum of its proper divisors (2398426368).

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

1267037952 is a wasteful number, since it uses less digits than its factorization.

1267037952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 1267037952 is about 35595.4765665527. The cubic root of 1267037952 is about 1082.0895622315.

The spelling of 1267037952 in words is "one billion, two hundred sixty-seven million, thirty-seven thousand, nine hundred fifty-two".