117953040 has 120 divisors (see below), whose sum is σ = 376850880. Its totient is φ = 30518784.

The previous prime is 117953029. The next prime is 117953041. The reversal of 117953040 is 40359711.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 117952989 and 117953007.

It is not an unprimeable number, because it can be changed into a prime (117953041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 328381 + ... + 328739.

It is an arithmetic number, because the mean of its divisors is an integer number (3140424).

Almost surely, 2^117953040 is an apocalyptic number.

117953040 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 117953040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188425440).

117953040 is an abundant number, since it is smaller than the sum of its proper divisors (258897840).

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

117953040 is a wasteful number, since it uses less digits than its factorization.

117953040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 117953040 is about 10860.6187669027. The cubic root of 117953040 is about 490.4217388109.

The spelling of 117953040 in words is "one hundred seventeen million, nine hundred fifty-three thousand, forty".