1267252896 has 576 divisors, whose sum is σ = 4691167488. Its totient is φ = 295206912.

The previous prime is 1267252891. The next prime is 1267252907. The reversal of 1267252896 is 6982527621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1267252891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23910406 + ... + 23910458.

It is an arithmetic number, because the mean of its divisors is an integer number (8144388).

Almost surely, 2^1267252896 is an apocalyptic number.

1267252896 is a gapful number since it is divisible by the number (16) 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 1267252896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345583744).

1267252896 is an abundant number, since it is smaller than the sum of its proper divisors (3423914592).

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

1267252896 is a wasteful number, since it uses less digits than its factorization.

1267252896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 1267252896 is about 35598.4956985545. The cubic root of 1267252896 is about 1082.1507483776.

The spelling of 1267252896 in words is "one billion, two hundred sixty-seven million, two hundred fifty-two thousand, eight hundred ninety-six".