117248000 has 104 divisors (see below), whose sum is σ = 293893080. Its totient is φ = 46694400.

The previous prime is 117247981. The next prime is 117248011. The reversal of 117248000 is 842711.

It can be written as a sum of positive squares in 4 ways, for example, as 262144 + 116985856 = 512^2 + 10816^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511886 + ... + 512114.

It is an arithmetic number, because the mean of its divisors is an integer number (2825895).

Almost surely, 2^117248000 is an apocalyptic number.

117248000 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 117248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146946540).

117248000 is an abundant number, since it is smaller than the sum of its proper divisors (176645080).

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

117248000 is an frugal number, since it uses more digits than its factorization.

117248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 117248000 is about 10828.1115620407. Note that the first 3 decimals coincide. The cubic root of 117248000 is about 489.4426538109.

The spelling of 117248000 in words is "one hundred seventeen million, two hundred forty-eight thousand".