1189359360 has 540 divisors, whose sum is σ = 4912259352. Its totient is φ = 265531392.

The previous prime is 1189359337. The next prime is 1189359401. The reversal of 1189359360 is 639539811.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27659499 + ... + 27659541.

Almost surely, 2^1189359360 is an apocalyptic number.

1189359360 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 1189359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456129676).

1189359360 is an abundant number, since it is smaller than the sum of its proper divisors (3722899992).

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

1189359360 is an frugal number, since it uses more digits than its factorization.

1189359360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1189359360 is about 34487.0897583429. The cubic root of 1189359360 is about 1059.5083040544.

It can be divided in two parts, 11893 and 59360, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 1189359360 in words is "one billion, one hundred eighty-nine million, three hundred fifty-nine thousand, three hundred sixty".