1192818960 has 280 divisors, whose sum is σ = 4218026904. Its totient is φ = 313528320.

The previous prime is 1192818953. The next prime is 1192818967. The reversal of 1192818960 is 698182911.

It is an interprime number because it is at equal distance from previous prime (1192818953) and next prime (1192818967).

It can be written as a sum of positive squares in 4 ways, for example, as 136048896 + 1056770064 = 11664^2 + 32508^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1192818967) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 6590070 + ... + 6590250.

Almost surely, 2^1192818960 is an apocalyptic number.

1192818960 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 1192818960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109013452).

1192818960 is an abundant number, since it is smaller than the sum of its proper divisors (3025207944).

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

1192818960 is a wasteful number, since it uses less digits than its factorization.

1192818960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The square root of 1192818960 is about 34537.2112365779. The cubic root of 1192818960 is about 1060.5346063222.

The spelling of 1192818960 in words is "one billion, one hundred ninety-two million, eight hundred eighteen thousand, nine hundred sixty".