1153480064 has 64 divisors (see below), whose sum is σ = 2516935680. Its totient is φ = 522201600.

The previous prime is 1153480051. The next prime is 1153480067. The reversal of 1153480064 is 4600843511.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1153480064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153480067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380057 + ... + 383079.

It is an arithmetic number, because the mean of its divisors is an integer number (39327120).

Almost surely, 2^1153480064 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 1153480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258467840).

1153480064 is an abundant number, since it is smaller than the sum of its proper divisors (1363455616).

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

1153480064 is a wasteful number, since it uses less digits than its factorization.

1153480064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1153480064 is about 33962.9219002135. The cubic root of 1153480064 is about 1048.7453082641.

The spelling of 1153480064 in words is "one billion, one hundred fifty-three million, four hundred eighty thousand, sixty-four".