1267320672 has 216 divisors, whose sum is σ = 3936212280. Its totient is φ = 385689600.

The previous prime is 1267320671. The next prime is 1267320679. The reversal of 1267320672 is 2760237621.

It is a happy number.

1267320672 is a `hidden beast` number, since 1 + 267 + 320 + 6 + 72 = 666.

It is a super-2 number, since 2×1267320672² = 3212203371357063168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267320671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5258472 + ... + 5258712.

It is an arithmetic number, because the mean of its divisors is an integer number (18223205).

Almost surely, 2^1267320672 is an apocalyptic number.

1267320672 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 1267320672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968106140).

1267320672 is an abundant number, since it is smaller than the sum of its proper divisors (2668891608).

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

1267320672 is a wasteful number, since it uses less digits than its factorization.

1267320672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1267320672 is about 35599.4476361642. The cubic root of 1267320672 is about 1082.1700401180.

The spelling of 1267320672 in words is "one billion, two hundred sixty-seven million, three hundred twenty thousand, six hundred seventy-two".