1233938160 has 480 divisors, whose sum is σ = 5248414080. Its totient is φ = 252813312.

The previous prime is 1233938131. The next prime is 1233938171. The reversal of 1233938160 is 618393321.

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 95 ways as a sum of consecutive naturals, for example, 2423986 + ... + 2424494.

It is an arithmetic number, because the mean of its divisors is an integer number (10934196).

Almost surely, 2^1233938160 is an apocalyptic number.

1233938160 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 1233938160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624207040).

1233938160 is an abundant number, since it is smaller than the sum of its proper divisors (4014475920).

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

1233938160 is a wasteful number, since it uses less digits than its factorization.

1233938160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1233938160 is about 35127.4559283760. The cubic root of 1233938160 is about 1072.5835493293.

The spelling of 1233938160 in words is "one billion, two hundred thirty-three million, nine hundred thirty-eight thousand, one hundred sixty".