1153664820 has 648 divisors, whose sum is σ = 4768388352. Its totient is φ = 224421120.

The previous prime is 1153664803. The next prime is 1153664821. The reversal of 1153664820 is 284663511.

It is a happy number.

1153664820 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 6 + 648 + 2 + 0 = 666.

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 (1153664821) 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 215 ways as a sum of consecutive naturals, for example, 24546037 + ... + 24546083.

It is an arithmetic number, because the mean of its divisors is an integer number (7358624).

Almost surely, 2^1153664820 is an apocalyptic number.

1153664820 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 1153664820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384194176).

1153664820 is an abundant number, since it is smaller than the sum of its proper divisors (3614723532).

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

1153664820 is a wasteful number, since it uses less digits than its factorization.

1153664820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1153664820 is about 33965.6417575173. The cubic root of 1153664820 is about 1048.8012987258.

The spelling of 1153664820 in words is "one billion, one hundred fifty-three million, six hundred sixty-four thousand, eight hundred twenty".