1153653360 has 80 divisors (see below), whose sum is σ = 3600439200. Its totient is φ = 305566720.

The previous prime is 1153653331. The next prime is 1153653433. The reversal of 1153653360 is 633563511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19630 + ... + 51890.

It is an arithmetic number, because the mean of its divisors is an integer number (45005490).

Almost surely, 2^1153653360 is an apocalyptic number.

1153653360 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 1153653360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800219600).

1153653360 is an abundant number, since it is smaller than the sum of its proper divisors (2446785840).

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

1153653360 is a wasteful number, since it uses less digits than its factorization.

1153653360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32426 (or 32420 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The square root of 1153653360 is about 33965.4730572091. The cubic root of 1153653360 is about 1048.7978259370.

The spelling of 1153653360 in words is "one billion, one hundred fifty-three million, six hundred fifty-three thousand, three hundred sixty".