93840 has 80 divisors (see below), whose sum is σ = 321408. Its totient is φ = 22528.

The previous prime is 93827. The next prime is 93851. The reversal of 93840 is 4839.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 93840.

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, 4069 + ... + 4091.

2⁹³⁸⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704).

93840 is an abundant number, since it is smaller than the sum of its proper divisors (227568).

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

93840 is a wasteful number, since it uses less digits than its factorization.

93840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 93840 is about 306.3331519767. Note that the first 3 decimals coincide. The cubic root of 93840 is about 45.4425471362.

The spelling of 93840 in words is "ninety-three thousand, eight hundred forty".