93480 has 64 divisors (see below), whose sum is σ = 302400. Its totient is φ = 23040.

The previous prime is 93479. The next prime is 93481. The reversal of 93480 is 8439.

93480 = T₁₀₀ + T₁₀₁ + ... + T₁₁₅.

It is an interprime number because it is at equal distance from previous prime (93479) and next prime (93481).

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 93480.

It is not an unprimeable number, because it can be changed into a prime (93481) 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, 2260 + ... + 2300.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2⁹³⁴⁸⁰ 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 93480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

93480 is an abundant number, since it is smaller than the sum of its proper divisors (208920).

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

93480 is a wasteful number, since it uses less digits than its factorization.

93480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 70 counting only the distinct ones).

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

The square root of 93480 is about 305.7449917824. The cubic root of 93480 is about 45.3843619930.

The spelling of 93480 in words is "ninety-three thousand, four hundred eighty".