1270214816 has 72 divisors (see below), whose sum is σ = 2719691100. Its totient is φ = 583704576.

The previous prime is 1270214791. The next prime is 1270214821. The reversal of 1270214816 is 6184120721.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 219158416 + 1051056400 = 14804^2 + 32420^2 .

It is a super-2 number, since 2×1270214816² = 3226891357571827712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1887056 + ... + 1887728.

Almost surely, 2^1270214816 is an apocalyptic number.

1270214816 is a gapful number since it is divisible by the number (16) 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 1270214816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359845550).

1270214816 is an abundant number, since it is smaller than the sum of its proper divisors (1449476284).

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

1270214816 is a wasteful number, since it uses less digits than its factorization.

1270214816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 1270214816 is about 35640.0731761314. The cubic root of 1270214816 is about 1082.9931874341.

The spelling of 1270214816 in words is "one billion, two hundred seventy million, two hundred fourteen thousand, eight hundred sixteen".