117965540 has 144 divisors (see below), whose sum is σ = 325430784. Its totient is φ = 35481600.

The previous prime is 117965539. The next prime is 117965557. The reversal of 117965540 is 45569711.

It is a super-3 number, since 3×117965540³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 117965494 and 117965503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334004 + ... + 334356.

It is an arithmetic number, because the mean of its divisors is an integer number (2259936).

Almost surely, 2^117965540 is an apocalyptic number.

117965540 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 117965540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162715392).

117965540 is an abundant number, since it is smaller than the sum of its proper divisors (207465244).

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

117965540 is a wasteful number, since it uses less digits than its factorization.

117965540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 117965540 is about 10861.1942253143. The cubic root of 117965540 is about 490.4390622451.

The spelling of 117965540 in words is "one hundred seventeen million, nine hundred sixty-five thousand, five hundred forty".