1196354880 has 448 divisors, whose sum is σ = 4892405760. Its totient is φ = 269568000.

The previous prime is 1196354851. The next prime is 1196354903. The reversal of 1196354880 is 884536911.

1196354880 is a `hidden beast` number, since 1 + 1 + 9 + 635 + 4 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 7922805 + ... + 7922955.

Almost surely, 2^1196354880 is an apocalyptic number.

1196354880 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 1196354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446202880).

1196354880 is an abundant number, since it is smaller than the sum of its proper divisors (3696050880).

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

1196354880 is a wasteful number, since it uses less digits than its factorization.

1196354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1196354880 is about 34588.3633611074. The cubic root of 1196354880 is about 1061.5815006543.

The spelling of 1196354880 in words is "one billion, one hundred ninety-six million, three hundred fifty-four thousand, eight hundred eighty".