1270661952 has 112 divisors (see below), whose sum is σ = 3850152320. Its totient is φ = 362299392.

The previous prime is 1270661921. The next prime is 1270661963. The reversal of 1270661952 is 2591660721.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1270661952² = 3229163592520900608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1270661952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1258824 + ... + 1259832.

It is an arithmetic number, because the mean of its divisors is an integer number (34376360).

Almost surely, 2^1270661952 is an apocalyptic number.

1270661952 is a gapful number since it is divisible by the number (12) 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 1270661952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925076160).

1270661952 is an abundant number, since it is smaller than the sum of its proper divisors (2579490368).

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

1270661952 is a wasteful number, since it uses less digits than its factorization.

1270661952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1270661952 is about 35646.3455630447. The cubic root of 1270661952 is about 1083.1202495200.

The spelling of 1270661952 in words is "one billion, two hundred seventy million, six hundred sixty-one thousand, nine hundred fifty-two".