1233745920 has 288 divisors, whose sum is σ = 4668496560. Its totient is φ = 298844160.

The previous prime is 1233745901. The next prime is 1233745937. The reversal of 1233745920 is 295473321.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 1013152 + ... + 1014368.

Almost surely, 2^1233745920 is an apocalyptic number.

1233745920 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 1233745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334248280).

1233745920 is an abundant number, since it is smaller than the sum of its proper divisors (3434750640).

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

1233745920 is a wasteful number, since it uses less digits than its factorization.

1233745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1233745920 is about 35124.7195006594. The cubic root of 1233745920 is about 1072.5278457895.

The spelling of 1233745920 in words is "one billion, two hundred thirty-three million, seven hundred forty-five thousand, nine hundred twenty".