1160220672 has 260 divisors, whose sum is σ = 3746399580. Its totient is φ = 355663872.

The previous prime is 1160220653. The next prime is 1160220689. The reversal of 1160220672 is 2760220611.

It can be written as a sum of positive squares in 2 ways, for example, as 119771136 + 1040449536 = 10944^2 + 32256^2 .

It is a super-2 number, since 2×1160220672² = 2692224015472263168, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4312954 + ... + 4313222.

Almost surely, 2^1160220672 is an apocalyptic number.

1160220672 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 1160220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873199790).

1160220672 is an abundant number, since it is smaller than the sum of its proper divisors (2586178908).

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

1160220672 is an equidigital number, since it uses as much as digits as its factorization.

1160220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1160220672 is about 34062.0121543047. The cubic root of 1160220672 is about 1050.7841978455.

The spelling of 1160220672 in words is "one billion, one hundred sixty million, two hundred twenty thousand, six hundred seventy-two".