117633680 has 40 divisors (see below), whose sum is σ = 275520312. Its totient is φ = 46705664.

The previous prime is 117633671. The next prime is 117633713. The reversal of 117633680 is 86336711.

It can be written as a sum of positive squares in 4 ways, for example, as 1597696 + 116035984 = 1264^2 + 10772^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×117633680³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 117633680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5594 + ... + 16326.

Almost surely, 2^117633680 is an apocalyptic number.

117633680 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 117633680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137760156).

117633680 is an abundant number, since it is smaller than the sum of its proper divisors (157886632).

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

117633680 is a wasteful number, since it uses less digits than its factorization.

117633680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10883 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 117633680 is about 10845.9061401065. The cubic root of 117633680 is about 489.9787301610.

The spelling of 117633680 in words is "one hundred seventeen million, six hundred thirty-three thousand, six hundred eighty".