234128640 has 144 divisors (see below), whose sum is σ = 787348800. Its totient is φ = 59129856.

The previous prime is 234128623. The next prime is 234128663. The reversal of 234128640 is 46821432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 234128598 and 234128607.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71356 + ... + 74564.

It is an arithmetic number, because the mean of its divisors is an integer number (5467700).

Almost surely, 2^234128640 is an apocalyptic number.

234128640 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 234128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393674400).

234128640 is an abundant number, since it is smaller than the sum of its proper divisors (553220160).

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

234128640 is a wasteful number, since it uses less digits than its factorization.

234128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 234128640 is about 15301.2626929937. The cubic root of 234128640 is about 616.3369158225.

The spelling of 234128640 in words is "two hundred thirty-four million, one hundred twenty-eight thousand, six hundred forty".