117903360 has 208 divisors, whose sum is σ = 401031360. Its totient is φ = 29491200.

The previous prime is 117903353. The next prime is 117903361. The reversal of 117903360 is 63309711.

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

It is not an unprimeable number, because it can be changed into a prime (117903361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167310 + ... + 1167410.

Almost surely, 2^117903360 is an apocalyptic number.

117903360 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 117903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200515680).

117903360 is an abundant number, since it is smaller than the sum of its proper divisors (283128000).

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

117903360 is a wasteful number, since it uses less digits than its factorization.

117903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 117903360 is about 10858.3313635199. The cubic root of 117903360 is about 490.3528764529.

The spelling of 117903360 in words is "one hundred seventeen million, nine hundred three thousand, three hundred sixty".