117735520 has 96 divisors (see below), whose sum is σ = 328237056. Its totient is φ = 39052800.

The previous prime is 117735509. The next prime is 117735521. The reversal of 117735520 is 25537711.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117735521) 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, 33025 + ... + 36415.

It is an arithmetic number, because the mean of its divisors is an integer number (3419136).

Almost surely, 2^117735520 is an apocalyptic number.

117735520 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 117735520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164118528).

117735520 is an abundant number, since it is smaller than the sum of its proper divisors (210501536).

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

117735520 is a wasteful number, since it uses less digits than its factorization.

117735520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 117735520 is about 10850.5999834111. The cubic root of 117735520 is about 490.1200871852.

The spelling of 117735520 in words is "one hundred seventeen million, seven hundred thirty-five thousand, five hundred twenty".