238280064 has 128 divisors (see below), whose sum is σ = 727056000. Its totient is φ = 68382720.

The previous prime is 238280059. The next prime is 238280087. The reversal of 238280064 is 460082832.

238280064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 78772 + ... + 81740.

It is an arithmetic number, because the mean of its divisors is an integer number (5680125).

Almost surely, 2^238280064 is an apocalyptic number.

238280064 is a gapful number since it is divisible by the number (24) 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 238280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363528000).

238280064 is an abundant number, since it is smaller than the sum of its proper divisors (488775936).

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

238280064 is a wasteful number, since it uses less digits than its factorization.

238280064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 238280064 is about 15436.3228781987. The cubic root of 238280064 is about 619.9584294015.

The spelling of 238280064 in words is "two hundred thirty-eight million, two hundred eighty thousand, sixty-four".