1152506624 has 72 divisors (see below), whose sum is σ = 2362267152. Its totient is φ = 560967680.

The previous prime is 1152506591. The next prime is 1152506627. The reversal of 1152506624 is 4266052511.

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

It is not an unprimeable number, because it can be changed into a prime (1152506627) 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, 2347019 + ... + 2347509.

It is an arithmetic number, because the mean of its divisors is an integer number (32809266).

Almost surely, 2^1152506624 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 1152506624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181133576).

1152506624 is an abundant number, since it is smaller than the sum of its proper divisors (1209760528).

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

1152506624 is an equidigital number, since it uses as much as digits as its factorization.

1152506624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1152506624 is about 33948.5879529620. The cubic root of 1152506624 is about 1048.4502076720.

The spelling of 1152506624 in words is "one billion, one hundred fifty-two million, five hundred six thousand, six hundred twenty-four".