235648000 has 176 divisors, whose sum is σ = 674429184. Its totient is φ = 80486400.

The previous prime is 235647991. The next prime is 235648001. The reversal of 235648000 is 846532.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 235648000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235648001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895869 + ... + 896131.

It is an arithmetic number, because the mean of its divisors is an integer number (3831984).

Almost surely, 2^235648000 is an apocalyptic number.

235648000 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 235648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337214592).

235648000 is an abundant number, since it is smaller than the sum of its proper divisors (438781184).

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

235648000 is an equidigital number, since it uses as much as digits as its factorization.

235648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 235648000 is about 15350.8305964205. The cubic root of 235648000 is about 617.6672660678.

The spelling of 235648000 in words is "two hundred thirty-five million, six hundred forty-eight thousand".