235760000 has 160 divisors (see below), whose sum is σ = 672347280. Its totient is φ = 80640000.

The previous prime is 235759981. The next prime is 235760003. The reversal of 235760000 is 67532.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235760003) 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 19 ways as a sum of consecutive naturals, for example, 559790 + ... + 560210.

Almost surely, 2^235760000 is an apocalyptic number.

235760000 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 235760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336173640).

235760000 is an abundant number, since it is smaller than the sum of its proper divisors (436587280).

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

235760000 is an frugal number, since it uses more digits than its factorization.

235760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 235760000 is about 15354.4781741354. The cubic root of 235760000 is about 617.7651065995.

The spelling of 235760000 in words is "two hundred thirty-five million, seven hundred sixty thousand".