1151646080 has 128 divisors (see below), whose sum is σ = 2997600480. Its totient is φ = 420544512.

The previous prime is 1151646073. The next prime is 1151646103. The reversal of 1151646080 is 806461511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806327 + ... + 807753.

Almost surely, 2^1151646080 is an apocalyptic number.

1151646080 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 1151646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498800240).

1151646080 is an abundant number, since it is smaller than the sum of its proper divisors (1845954400).

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

1151646080 is a wasteful number, since it uses less digits than its factorization.

1151646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 1151646080 is about 33935.9113624491. The cubic root of 1151646080 is about 1048.1891933552.

The spelling of 1151646080 in words is "one billion, one hundred fifty-one million, six hundred forty-six thousand, eighty".