1270167966 has 40 divisors (see below), whose sum is σ = 2856795480. Its totient is φ = 421800912.

The previous prime is 1270167959. The next prime is 1270167967. The reversal of 1270167966 is 6697610721.

It is a happy number.

It is a super-2 number, since 2×1270167966² = 3226653323705154312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1270167967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29005 + ... + 58151.

It is an arithmetic number, because the mean of its divisors is an integer number (71419887).

Almost surely, 2^1270167966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1270167966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428397740).

1270167966 is an abundant number, since it is smaller than the sum of its proper divisors (1586627514).

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

1270167966 is a wasteful number, since it uses less digits than its factorization.

1270167966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29430 (or 29421 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1270167966 is about 35639.4159043046. The cubic root of 1270167966 is about 1082.9798724016.

The spelling of 1270167966 in words is "one billion, two hundred seventy million, one hundred sixty-seven thousand, nine hundred sixty-six".