233947840 has 112 divisors (see below), whose sum is σ = 646078464. Its totient is φ = 79027200.

The previous prime is 233947823. The next prime is 233947841. The reversal of 233947840 is 48749332.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 233947793 and 233947802.

It is not an unprimeable number, because it can be changed into a prime (233947841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158305 + ... + 159775.

Almost surely, 2^233947840 is an apocalyptic number.

233947840 is a gapful number since it is divisible by the number (20) 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 233947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323039232).

233947840 is an abundant number, since it is smaller than the sum of its proper divisors (412130624).

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

233947840 is a wasteful number, since it uses less digits than its factorization.

233947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 233947840 is about 15295.3535428247. The cubic root of 233947840 is about 616.1782246992.

The spelling of 233947840 in words is "two hundred thirty-three million, nine hundred forty-seven thousand, eight hundred forty".