1153896544 has 96 divisors (see below), whose sum is σ = 2423312640. Its totient is φ = 540019200.

The previous prime is 1153896533. The next prime is 1153896547. The reversal of 1153896544 is 4456983511.

It is a junction number, because it is equal to n+sod(n) for n = 1153896494 and 1153896503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153896547) 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, 5468599 + ... + 5468809.

It is an arithmetic number, because the mean of its divisors is an integer number (25242840).

Almost surely, 2^1153896544 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 1153896544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211656320).

1153896544 is an abundant number, since it is smaller than the sum of its proper divisors (1269416096).

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

1153896544 is a wasteful number, since it uses less digits than its factorization.

1153896544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The square root of 1153896544 is about 33969.0527392213. The cubic root of 1153896544 is about 1048.8715144297.

It can be divided in two parts, 1153896 and 544, that added together give a triangular number (1154440 = T₁₅₁₉).

The spelling of 1153896544 in words is "one billion, one hundred fifty-three million, eight hundred ninety-six thousand, five hundred forty-four".