1271599540 has 96 divisors (see below), whose sum is σ = 2874009600. Its totient is φ = 471528960.

The previous prime is 1271599513. The next prime is 1271599547. The reversal of 1271599540 is 459951721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271599547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3541881 + ... + 3542239.

It is an arithmetic number, because the mean of its divisors is an integer number (29937600).

Almost surely, 2^1271599540 is an apocalyptic number.

1271599540 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 1271599540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437004800).

1271599540 is an abundant number, since it is smaller than the sum of its proper divisors (1602410060).

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

1271599540 is a wasteful number, since it uses less digits than its factorization.

1271599540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 43.

The square root of 1271599540 is about 35659.4943878906. The cubic root of 1271599540 is about 1083.3865859950.

The spelling of 1271599540 in words is "one billion, two hundred seventy-one million, five hundred ninety-nine thousand, five hundred forty".