1193088960 has 224 divisors, whose sum is σ = 4810475520. Its totient is φ = 272692224.

The previous prime is 1193088943. The next prime is 1193088977. The reversal of 1193088960 is 698803911.

It is an interprime number because it is at equal distance from previous prime (1193088943) and next prime (1193088977).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1193088960² = 2846922532947763200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 50617 + ... + 70343.

Almost surely, 2^1193088960 is an apocalyptic number.

1193088960 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 1193088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405237760).

1193088960 is an abundant number, since it is smaller than the sum of its proper divisors (3617386560).

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

1193088960 is a wasteful number, since it uses less digits than its factorization.

1193088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19760 (or 19744 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1193088960 is about 34541.1198428771. The cubic root of 1193088960 is about 1060.6146192302.

The spelling of 1193088960 in words is "one billion, one hundred ninety-three million, eighty-eight thousand, nine hundred sixty".