1230820920 has 160 divisors (see below), whose sum is σ = 4728002400. Its totient is φ = 281325312.

The previous prime is 1230820909. The next prime is 1230820933. The reversal of 1230820920 is 290280321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4455 + ... + 49814.

It is an arithmetic number, because the mean of its divisors is an integer number (29550015).

Almost surely, 2^1230820920 is an apocalyptic number.

1230820920 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 1230820920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364001200).

1230820920 is an abundant number, since it is smaller than the sum of its proper divisors (3497181480).

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

1230820920 is a wasteful number, since it uses less digits than its factorization.

1230820920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54299 (or 54286 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1230820920 is about 35083.0574494299. The cubic root of 1230820920 is about 1071.6795818753.

The spelling of 1230820920 in words is "one billion, two hundred thirty million, eight hundred twenty thousand, nine hundred twenty".