238752640 has 128 divisors (see below), whose sum is σ = 658756800. Its totient is φ = 81051648.

The previous prime is 238752637. The next prime is 238752643. The reversal of 238752640 is 46257832.

238752640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238752637) and next prime (238752643).

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

It is a self number, because there is not a number n which added to its sum of digits gives 238752640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238752643) 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, 613566 + ... + 613954.

Almost surely, 2^238752640 is an apocalyptic number.

238752640 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 238752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329378400).

238752640 is an abundant number, since it is smaller than the sum of its proper divisors (420004160).

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

238752640 is a wasteful number, since it uses less digits than its factorization.

238752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 238752640 is about 15451.6225685201. The cubic root of 238752640 is about 620.3680090610.

The spelling of 238752640 in words is "two hundred thirty-eight million, seven hundred fifty-two thousand, six hundred forty".