1153516640 has 96 divisors (see below), whose sum is σ = 2897796384. Its totient is φ = 432414720.

The previous prime is 1153516627. The next prime is 1153516643. The reversal of 1153516640 is 466153511.

1153516640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1153516597 and 1153516606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153516643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752675 + ... + 754205.

It is an arithmetic number, because the mean of its divisors is an integer number (30185379).

Almost surely, 2^1153516640 is an apocalyptic number.

1153516640 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 1153516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448898192).

1153516640 is an abundant number, since it is smaller than the sum of its proper divisors (1744279744).

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

1153516640 is a wasteful number, since it uses less digits than its factorization.

1153516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 1153516640 is about 33963.4603655164. The cubic root of 1153516640 is about 1048.7563931264.

The spelling of 1153516640 in words is "one billion, one hundred fifty-three million, five hundred sixteen thousand, six hundred forty".