1270823040 has 256 divisors, whose sum is σ = 4534185600. Its totient is φ = 336384000.

The previous prime is 1270823039. The next prime is 1270823041. The reversal of 1270823040 is 403280721.

It is an interprime number because it is at equal distance from previous prime (1270823039) and next prime (1270823041).

It is a super-2 number, since 2×1270823040² = 3229982397989683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1270822995 and 1270823013.

It is not an unprimeable number, because it can be changed into a prime (1270823041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4337134 + ... + 4337426.

Almost surely, 2^1270823040 is an apocalyptic number.

1270823040 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 1270823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267092800).

1270823040 is an abundant number, since it is smaller than the sum of its proper divisors (3263362560).

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

1270823040 is a wasteful number, since it uses less digits than its factorization.

1270823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1270823040 is about 35648.6050217957. The cubic root of 1270823040 is about 1083.1660183945.

The spelling of 1270823040 in words is "one billion, two hundred seventy million, eight hundred twenty-three thousand, forty".