1192608960 has 112 divisors (see below), whose sum is σ = 3800868192. Its totient is φ = 316825600.

The previous prime is 1192608917. The next prime is 1192608961. The reversal of 1192608960 is 698062911.

It is a super-2 number, since 2×1192608960² = 2844632262944563200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1192608961) 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, 267550 + ... + 271970.

Almost surely, 2^1192608960 is an apocalyptic number.

1192608960 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 1192608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900434096).

1192608960 is an abundant number, since it is smaller than the sum of its proper divisors (2608259232).

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

1192608960 is a wasteful number, since it uses less digits than its factorization.

1192608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1192608960 is about 34534.1709036137. The cubic root of 1192608960 is about 1060.4723657124.

The spelling of 1192608960 in words is "one billion, one hundred ninety-two million, six hundred eight thousand, nine hundred sixty".