1270361952 has 72 divisors (see below), whose sum is σ = 3617509896. Its totient is φ = 422877696.

The previous prime is 1270361951. The next prime is 1270361971. The reversal of 1270361952 is 2591630721.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1270361952² = 3227638978178500608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1270361951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244243 + ... + 249389.

It is an arithmetic number, because the mean of its divisors is an integer number (50243193).

Almost surely, 2^1270361952 is an apocalyptic number.

1270361952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1270361952 is an abundant number, since it is smaller than the sum of its proper divisors (2347147944).

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

1270361952 is a wasteful number, since it uses less digits than its factorization.

1270361952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6020 (or 6009 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1270361952 is about 35642.1373096508. The cubic root of 1270361952 is about 1083.0350021811.

The spelling of 1270361952 in words is "one billion, two hundred seventy million, three hundred sixty-one thousand, nine hundred fifty-two".