1153608032 has 48 divisors (see below), whose sum is σ = 2431885680. Its totient is φ = 536752128.

The previous prime is 1153608019. The next prime is 1153608101. The reversal of 1153608032 is 2308063511.

It is a super-2 number, since 2×1153608032² = 2661622982989826048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1153607986 and 1153608004.

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 7 ways as a sum of consecutive naturals, for example, 36503 + ... + 60329.

It is an arithmetic number, because the mean of its divisors is an integer number (50664285).

Almost surely, 2^1153608032 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 1153608032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215942840).

1153608032 is an abundant number, since it is smaller than the sum of its proper divisors (1278277648).

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

1153608032 is a wasteful number, since it uses less digits than its factorization.

1153608032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23943 (or 23935 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1153608032 is about 33964.8057848120. The cubic root of 1153608032 is about 1048.7840897108.

The spelling of 1153608032 in words is "one billion, one hundred fifty-three million, six hundred eight thousand, thirty-two".