1196144820 has 360 divisors, whose sum is σ = 4318947864. Its totient is φ = 276037632.

The previous prime is 1196144813. The next prime is 1196144821. The reversal of 1196144820 is 284416911.

1196144820 is a `hidden beast` number, since 1 + 19 + 614 + 4 + 8 + 20 = 666.

1196144820 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 161493264 + 1034651556 = 12708^2 + 32166^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1196144821) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4654132 + ... + 4654388.

Almost surely, 2^1196144820 is an apocalyptic number.

1196144820 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 1196144820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159473932).

1196144820 is an abundant number, since it is smaller than the sum of its proper divisors (3122803044).

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

1196144820 is a wasteful number, since it uses less digits than its factorization.

1196144820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1196144820 is about 34585.3266574135. The cubic root of 1196144820 is about 1061.5193650047.

The spelling of 1196144820 in words is "one billion, one hundred ninety-six million, one hundred forty-four thousand, eight hundred twenty".