117024000 has 288 divisors, whose sum is σ = 413247744. Its totient is φ = 29286400.

The previous prime is 117023999. The next prime is 117024041. The reversal of 117024000 is 420711.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2207974 + ... + 2208026.

It is an arithmetic number, because the mean of its divisors is an integer number (1434888).

Almost surely, 2^117024000 is an apocalyptic number.

117024000 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 117024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206623872).

117024000 is an abundant number, since it is smaller than the sum of its proper divisors (296223744).

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

117024000 is an equidigital number, since it uses as much as digits as its factorization.

117024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 117024000 is about 10817.7631698979. The cubic root of 117024000 is about 489.1307649166.

Adding to 117024000 its reverse (420711), we get a palindrome (117444711).

The spelling of 117024000 in words is "one hundred seventeen million, twenty-four thousand".