93380 has 48 divisors (see below), whose sum is σ = 241920. Its totient is φ = 29568.

The previous prime is 93377. The next prime is 93383. The reversal of 93380 is 8339.

93380 = T₁₀₄ + T₁₀₅ + ... + T₁₁₈.

93380 = 10² + 11² + ... + 65².

It is an interprime number because it is at equal distance from previous prime (93377) and next prime (93383).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93380.

It is not an unprimeable number, because it can be changed into a prime (93383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3206 + ... + 3234.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁹³³⁸⁰ 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 93380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

93380 is an abundant number, since it is smaller than the sum of its proper divisors (148540).

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

93380 is a wasteful number, since it uses less digits than its factorization.

93380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 93380 is about 305.5814130473. The cubic root of 93380 is about 45.3681729490.

The spelling of 93380 in words is "ninety-three thousand, three hundred eighty".