1150810624 has 40 divisors (see below), whose sum is σ = 2342813220. Its totient is φ = 564535296.

The previous prime is 1150810561. The next prime is 1150810637. The reversal of 1150810624 is 4260180511.

It can be written as a sum of positive squares in 2 ways, for example, as 1100116224 + 50694400 = 33168^2 + 7120^2 .

It is a super-2 number, since 2×1150810624² = 2648730184622538752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1150810592 and 1150810601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5932 + ... + 48340.

Almost surely, 2^1150810624 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 1150810624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171406610).

1150810624 is an abundant number, since it is smaller than the sum of its proper divisors (1192002596).

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

1150810624 is an frugal number, since it uses more digits than its factorization.

1150810624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42480 (or 42464 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1150810624 is about 33923.5998089825. The cubic root of 1150810624 is about 1047.9356641352.

The spelling of 1150810624 in words is "one billion, one hundred fifty million, eight hundred ten thousand, six hundred twenty-four".