1271961600 has 648 divisors, whose sum is σ = 5296653180. Its totient is φ = 268369920.

The previous prime is 1271961599. The next prime is 1271961667. The reversal of 1271961600 is 61691721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 97843194 + ... + 97843206.

Almost surely, 2^1271961600 is an apocalyptic number.

1271961600 is a gapful number since it is divisible by the number (10) 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 1271961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648326590).

1271961600 is an abundant number, since it is smaller than the sum of its proper divisors (4024691580).

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

1271961600 is a wasteful number, since it uses less digits than its factorization.

1271961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 1271961600 is about 35664.5706549231. The cubic root of 1271961600 is about 1083.4893997380.

The spelling of 1271961600 in words is "one billion, two hundred seventy-one million, nine hundred sixty-one thousand, six hundred".