1232985600 has 720 divisors, whose sum is σ = 5540895360. Its totient is φ = 254361600.

The previous prime is 1232985583. The next prime is 1232985613. The reversal of 1232985600 is 65892321.

1232985600 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 98 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8870331 + ... + 8870469.

It is an arithmetic number, because the mean of its divisors is an integer number (7695688).

Almost surely, 2^1232985600 is an apocalyptic number.

1232985600 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 1232985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770447680).

1232985600 is an abundant number, since it is smaller than the sum of its proper divisors (4307909760).

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

1232985600 is a wasteful number, since it uses less digits than its factorization.

1232985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1232985600 is about 35113.8946857223. The cubic root of 1232985600 is about 1072.3074784429.

The spelling of 1232985600 in words is "one billion, two hundred thirty-two million, nine hundred eighty-five thousand, six hundred".