1161559648 has 96 divisors (see below), whose sum is σ = 2423494080. Its totient is φ = 547430400.

The previous prime is 1161559631. The next prime is 1161559667. The reversal of 1161559648 is 8469551611.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (259200) is a multiple of the sum of its prime factors (360).

It is a junction number, because it is equal to n+sod(n) for n = 1161559598 and 1161559607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7692373 + ... + 7692523.

It is an arithmetic number, because the mean of its divisors is an integer number (25244730).

Almost surely, 2^1161559648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161559648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211747040).

1161559648 is an abundant number, since it is smaller than the sum of its proper divisors (1261934432).

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

1161559648 is a wasteful number, since it uses less digits than its factorization.

1161559648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its digits is 259200, while the sum is 46.

The square root of 1161559648 is about 34081.6614618478. The cubic root of 1161559648 is about 1051.1882686554.

The spelling of 1161559648 in words is "one billion, one hundred sixty-one million, five hundred fifty-nine thousand, six hundred forty-eight".