1270952640 has 336 divisors, whose sum is σ = 4772253600. Its totient is φ = 318357504.

The previous prime is 1270952549. The next prime is 1270952651. The reversal of 1270952640 is 462590721.

1270952640 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 9 + 5 + 2 + 640 = 666.

It is a super-2 number, since 2×1270952640² = 3230641226245939200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1270952595 and 1270952604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2496706 + ... + 2497214.

Almost surely, 2^1270952640 is an apocalyptic number.

1270952640 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 1270952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386126800).

1270952640 is an abundant number, since it is smaller than the sum of its proper divisors (3501300960).

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

1270952640 is a wasteful number, since it uses less digits than its factorization.

1270952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1270952640 is about 35650.4227183914. The cubic root of 1270952640 is about 1083.2028379830.

The spelling of 1270952640 in words is "one billion, two hundred seventy million, nine hundred fifty-two thousand, six hundred forty".