235752768 has 196 divisors, whose sum is σ = 728480128. Its totient is φ = 75582720.

The previous prime is 235752763. The next prime is 235752791. The reversal of 235752768 is 867257532.

235752768 is a `hidden beast` number, since 2 + 3 + 575 + 2 + 76 + 8 = 666.

Its product of digits (705600) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235752763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1446255 + ... + 1446417.

Almost surely, 2^235752768 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 235752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364240064).

235752768 is an abundant number, since it is smaller than the sum of its proper divisors (492727360).

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

235752768 is an equidigital number, since it uses as much as digits as its factorization.

235752768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 235752768 is about 15354.2426710014. The cubic root of 235752768 is about 617.7587898325.

The spelling of 235752768 in words is "two hundred thirty-five million, seven hundred fifty-two thousand, seven hundred sixty-eight".