238164624 has 100 divisors (see below), whose sum is σ = 695225344. Its totient is φ = 78708672.

The previous prime is 238164607. The next prime is 238164629. The reversal of 238164624 is 426461832.

238164624 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 646 + 2 + 4 = 666.

It is a super-2 number, since 2×238164624² = 113444776250122752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (238164629) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 163869 + ... + 165315.

Almost surely, 2^238164624 is an apocalyptic number.

238164624 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 238164624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347612672).

238164624 is an abundant number, since it is smaller than the sum of its proper divisors (457060720).

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

238164624 is a wasteful number, since it uses less digits than its factorization.

238164624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1579 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 238164624 is about 15432.5831927127. The cubic root of 238164624 is about 619.8582957456.

The spelling of 238164624 in words is "two hundred thirty-eight million, one hundred sixty-four thousand, six hundred twenty-four".