117723984 has 80 divisors (see below), whose sum is σ = 351108480. Its totient is φ = 33292800.

The previous prime is 117723967. The next prime is 117724001. The reversal of 117723984 is 489327711.

It is an interprime number because it is at equal distance from previous prime (117723967) and next prime (117724001).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32202 + ... + 35670.

It is an arithmetic number, because the mean of its divisors is an integer number (4388856).

Almost surely, 2^117723984 is an apocalyptic number.

117723984 is a gapful number since it is divisible by the number (14) 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 117723984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175554240).

117723984 is an abundant number, since it is smaller than the sum of its proper divisors (233384496).

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

117723984 is a wasteful number, since it uses less digits than its factorization.

117723984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3582 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 117723984 is about 10850.0683868813. The cubic root of 117723984 is about 490.1040789604.

The spelling of 117723984 in words is "one hundred seventeen million, seven hundred twenty-three thousand, nine hundred eighty-four".