235642000 has 80 divisors (see below), whose sum is σ = 621638784. Its totient is φ = 85680000.

The previous prime is 235641997. The next prime is 235642013. The reversal of 235642000 is 246532.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16645 + ... + 27355.

Almost surely, 2^235642000 is an apocalyptic number.

235642000 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 235642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310819392).

235642000 is an abundant number, since it is smaller than the sum of its proper divisors (385996784).

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

235642000 is a wasteful number, since it uses less digits than its factorization.

235642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10745 (or 10729 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 235642000 is about 15350.6351660119. The cubic root of 235642000 is about 617.6620237359.

Adding to 235642000 its reverse (246532), we get a palindrome (235888532).

The spelling of 235642000 in words is "two hundred thirty-five million, six hundred forty-two thousand".