233661120 has 448 divisors, whose sum is σ = 965606400. Its totient is φ = 46448640.

The previous prime is 233661083. The next prime is 233661121. The reversal of 233661120 is 21166332.

It is a happy number.

233661120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233661121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2143626 + ... + 2143734.

Almost surely, 2^233661120 is an apocalyptic number.

233661120 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 233661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482803200).

233661120 is an abundant number, since it is smaller than the sum of its proper divisors (731945280).

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

233661120 is a wasteful number, since it uses less digits than its factorization.

233661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 233661120 is about 15285.9778882478. The cubic root of 233661120 is about 615.9263981325.

The spelling of 233661120 in words is "two hundred thirty-three million, six hundred sixty-one thousand, one hundred twenty".