1147733820 has 96 divisors (see below), whose sum is σ = 3589185600. Its totient is φ = 304480512.

The previous prime is 1147733819. The next prime is 1147733827. The reversal of 1147733820 is 283377411.

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 (1147733827) 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 31 ways as a sum of consecutive naturals, for example, 100986 + ... + 111774.

It is an arithmetic number, because the mean of its divisors is an integer number (37387350).

Almost surely, 2^1147733820 is an apocalyptic number.

1147733820 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 1147733820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794592800).

1147733820 is an abundant number, since it is smaller than the sum of its proper divisors (2441451780).

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

1147733820 is a wasteful number, since it uses less digits than its factorization.

1147733820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11004 (or 10996 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1147733820 is about 33878.2204373252. The cubic root of 1147733820 is about 1047.0009113218. Note that the first 3 decimals are identical.

The spelling of 1147733820 in words is "one billion, one hundred forty-seven million, seven hundred thirty-three thousand, eight hundred twenty".