117840 has 40 divisors (see below), whose sum is σ = 366048. Its totient is φ = 31360.

The previous prime is 117839. The next prime is 117841. The reversal of 117840 is 48711.

It is an interprime number because it is at equal distance from previous prime (117839) and next prime (117841).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117841) 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 7 ways as a sum of consecutive naturals, for example, 6 + ... + 485.

2¹¹⁷⁸⁴⁰ is an apocalyptic number.

117840 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 117840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183024).

117840 is an abundant number, since it is smaller than the sum of its proper divisors (248208).

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

117840 is a wasteful number, since it uses less digits than its factorization.

117840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 117840 is about 343.2783127435. The cubic root of 117840 is about 49.0265023923.

The spelling of 117840 in words is "one hundred seventeen thousand, eight hundred forty".