1267630752 has 96 divisors (see below), whose sum is σ = 3560397120. Its totient is φ = 393707520.

The previous prime is 1267630747. The next prime is 1267630769. The reversal of 1267630752 is 2570367621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1267630752.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105568 + ... + 116960.

It is an arithmetic number, because the mean of its divisors is an integer number (37087470).

Almost surely, 2^1267630752 is an apocalyptic number.

1267630752 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 1267630752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780198560).

1267630752 is an abundant number, since it is smaller than the sum of its proper divisors (2292766368).

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

1267630752 is a wasteful number, since it uses less digits than its factorization.

1267630752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11486 (or 11478 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 1267630752 is about 35603.8024935540. The cubic root of 1267630752 is about 1082.2582924259.

The spelling of 1267630752 in words is "one billion, two hundred sixty-seven million, six hundred thirty thousand, seven hundred fifty-two".