1288895616 has 96 divisors (see below), whose sum is σ = 3764514000. Its totient is φ = 423194112.

The previous prime is 1288895563. The next prime is 1288895677. The reversal of 1288895616 is 6165988821.

It is a happy number.

1288895616 is a `hidden beast` number, since 12 + 8 + 8 + 8 + 9 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1288895616² = 3322503817888038912, which contains 22 as substring.

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, 68835 + ... + 85533.

Almost surely, 2^1288895616 is an apocalyptic number.

1288895616 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 1288895616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882257000).

1288895616 is an abundant number, since it is smaller than the sum of its proper divisors (2475618384).

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

1288895616 is a wasteful number, since it uses less digits than its factorization.

1288895616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16786 (or 16771 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 1288895616 is about 35901.1924035957. The cubic root of 1288895616 is about 1088.2764940307.

The spelling of 1288895616 in words is "one billion, two hundred eighty-eight million, eight hundred ninety-five thousand, six hundred sixteen".