1233921920 has 320 divisors, whose sum is σ = 3805550640. Its totient is φ = 379330560.

The previous prime is 1233921893. The next prime is 1233921947. The reversal of 1233921920 is 291293321.

It is an interprime number because it is at equal distance from previous prime (1233921893) and next prime (1233921947).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-4 number, since 4×1233921920⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16903004 + ... + 16903076.

Almost surely, 2^1233921920 is an apocalyptic number.

1233921920 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 1233921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902775320).

1233921920 is an abundant number, since it is smaller than the sum of its proper divisors (2571628720).

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

1233921920 is an frugal number, since it uses more digits than its factorization.

1233921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 1233921920 is about 35127.2247694007. The cubic root of 1233921920 is about 1072.5788438441.

The spelling of 1233921920 in words is "one billion, two hundred thirty-three million, nine hundred twenty-one thousand, nine hundred twenty".