233506764 has 144 divisors (see below), whose sum is σ = 666574272. Its totient is φ = 68530176.

The previous prime is 233506739. The next prime is 233506769. The reversal of 233506764 is 467605332.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233506769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745872 + ... + 746184.

It is an arithmetic number, because the mean of its divisors is an integer number (4628988).

Almost surely, 2^233506764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233506764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333287136).

233506764 is an abundant number, since it is smaller than the sum of its proper divisors (433067508).

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

233506764 is a wasteful number, since it uses less digits than its factorization.

233506764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 233506764 is about 15280.9281131743. The cubic root of 233506764 is about 615.7907417347.

It can be divided in two parts, 233506 and 764, that added together give a triangular number (234270 = T₆₈₄).

The spelling of 233506764 in words is "two hundred thirty-three million, five hundred six thousand, seven hundred sixty-four".