1289097216 has 351 divisors, whose sum is σ = 4347807373. Its totient is φ = 367656960.

The previous prime is 1289097209. The next prime is 1289097223. The reversal of 1289097216 is 6127909821.

The square root of 1289097216 is 35904.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1289097209) and next prime (1289097223).

It can be written as a sum of positive squares in only one way, i.e., 1003622400 + 285474816 = 31680^2 + 16896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75829240 + ... + 75829256.

Almost surely, 2^1289097216 is an apocalyptic number.

1289097216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1289097216 is the 35904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1289097216

1289097216 is an abundant number, since it is smaller than the sum of its proper divisors (3058710157).

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

1289097216 is a wasteful number, since it uses less digits than its factorization.

1289097216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The cubic root of 1289097216 is about 1088.3332312613. Note that the first 3 decimals are identical.

The spelling of 1289097216 in words is "one billion, two hundred eighty-nine million, ninety-seven thousand, two hundred sixteen".