1267991424 has 192 divisors, whose sum is σ = 4256460000. Its totient is φ = 362170368.

The previous prime is 1267991423. The next prime is 1267991489. The reversal of 1267991424 is 4241997621.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1267991424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267991423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393532 + ... + 396740.

Almost surely, 2^1267991424 is an apocalyptic number.

1267991424 is a gapful number since it is divisible by the number (14) 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 1267991424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128230000).

1267991424 is an abundant number, since it is smaller than the sum of its proper divisors (2988468576).

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

1267991424 is an equidigital number, since it uses as much as digits as its factorization.

1267991424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3221 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1267991424 is about 35608.8672102891. The cubic root of 1267991424 is about 1082.3609256908.

The spelling of 1267991424 in words is "one billion, two hundred sixty-seven million, nine hundred ninety-one thousand, four hundred twenty-four".