232735104 has 384 divisors, whose sum is σ = 848640000. Its totient is φ = 60963840.

The previous prime is 232735099. The next prime is 232735157. The reversal of 232735104 is 401537232.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7507569 + ... + 7507599.

It is an arithmetic number, because the mean of its divisors is an integer number (2210000).

Almost surely, 2^232735104 is an apocalyptic number.

232735104 is a gapful number since it is divisible by the number (24) 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 232735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424320000).

232735104 is an abundant number, since it is smaller than the sum of its proper divisors (615904896).

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

232735104 is a wasteful number, since it uses less digits than its factorization.

232735104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 232735104 is about 15255.6580978993. The cubic root of 232735104 is about 615.1116672107. Note that the first 3 decimals are identical.

The spelling of 232735104 in words is "two hundred thirty-two million, seven hundred thirty-five thousand, one hundred four".