117954000 has 120 divisors (see below), whose sum is σ = 412036872. Its totient is φ = 31449600.

The previous prime is 117953993. The next prime is 117954013. The reversal of 117954000 is 459711.

117954000 is a `hidden beast` number, since 117 + 9 + 540 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9960336 + 107993664 = 3156^2 + 10392^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×117954000³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14724 + ... + 21276.

Almost surely, 2^117954000 is an apocalyptic number.

117954000 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 117954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206018436).

117954000 is an abundant number, since it is smaller than the sum of its proper divisors (294082872).

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

117954000 is a wasteful number, since it uses less digits than its factorization.

117954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6563 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 117954000 is about 10860.6629631897. The cubic root of 117954000 is about 490.4230692940.

The spelling of 117954000 in words is "one hundred seventeen million, nine hundred fifty-four thousand".