118438320 has 640 divisors, whose sum is σ = 539965440. Its totient is φ = 20643840.

The previous prime is 118438319. The next prime is 118438363. The reversal of 118438320 is 23834811.

118438320 = T₂₅₈₄ + T₂₅₈₅ + ... + T₂₆₁₈.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4084066 + ... + 4084094.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 2^118438320 is an apocalyptic number.

118438320 is a gapful number since it is divisible by the number (10) 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 118438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

118438320 is an abundant number, since it is smaller than the sum of its proper divisors (421527120).

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

118438320 is a wasteful number, since it uses less digits than its factorization.

118438320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 118438320 is about 10882.9371035580. The cubic root of 118438320 is about 491.0933796179.

The spelling of 118438320 in words is "one hundred eighteen million, four hundred thirty-eight thousand, three hundred twenty".