235528560 has 200 divisors, whose sum is σ = 861529680. Its totient is φ = 59470848.

The previous prime is 235528549. The next prime is 235528567. The reversal of 235528560 is 65825532.

It is a happy number.

235528560 is a `hidden beast` number, since 23 + 55 + 28 + 560 = 666.

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 (235528567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122164 + ... + 124076.

Almost surely, 2^235528560 is an apocalyptic number.

235528560 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 235528560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430764840).

235528560 is an abundant number, since it is smaller than the sum of its proper divisors (626001120).

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

235528560 is a wasteful number, since it uses less digits than its factorization.

235528560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 235528560 is about 15346.9397600955. The cubic root of 235528560 is about 617.5628919645.

The spelling of 235528560 in words is "two hundred thirty-five million, five hundred twenty-eight thousand, five hundred sixty".