1230576984 has 192 divisors, whose sum is σ = 4186728000. Its totient is φ = 324463104.

The previous prime is 1230576979. The next prime is 1230576989. The reversal of 1230576984 is 4896750321.

1230576984 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1230576979) and next prime (1230576989).

1230576984 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230576989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319132 + ... + 322964.

It is an arithmetic number, because the mean of its divisors is an integer number (21805875).

It is a 1-persistent number, because it is pandigital, but 2⋅1230576984 = 2461153968 is not.

Almost surely, 2^1230576984 is an apocalyptic number.

1230576984 is a gapful number since it is divisible by the number (14) 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 1230576984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093364000).

1230576984 is an abundant number, since it is smaller than the sum of its proper divisors (2956151016).

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

1230576984 is a wasteful number, since it uses less digits than its factorization.

1230576984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1230576984 is about 35079.5807272550. The cubic root of 1230576984 is about 1071.6087785877.

The spelling of 1230576984 in words is "one billion, two hundred thirty million, five hundred seventy-six thousand, nine hundred eighty-four".