117001296 has 90 divisors (see below), whose sum is σ = 334237722. Its totient is φ = 38206080.

The previous prime is 117001279. The next prime is 117001319. The reversal of 117001296 is 692100711.

It can be written as a sum of positive squares in only one way, i.e., 64641600 + 52359696 = 8040^2 + 7236^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 646326 + ... + 646506.

Almost surely, 2^117001296 is an apocalyptic number.

117001296 is a gapful number since it is divisible by the number (16) 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 117001296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167118861).

117001296 is an abundant number, since it is smaller than the sum of its proper divisors (217236426).

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

117001296 is a wasteful number, since it uses less digits than its factorization.

117001296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 117001296 is about 10816.7137338473. The cubic root of 117001296 is about 489.0991305420.

It can be divided in two parts, 11700 and 1296, that added together give a square (12996 = 114²).

The spelling of 117001296 in words is "one hundred seventeen million, one thousand, two hundred ninety-six".