93990 has 32 divisors (see below), whose sum is σ = 243936. Its totient is φ = 23040.

The previous prime is 93983. The next prime is 93997. The reversal of 93990 is 9939.

93990 = T₁₄₀ + T₁₄₁ + ... + T₁₄₈.

It is an interprime number because it is at equal distance from previous prime (93983) and next prime (93997).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93997) by changing a digit.

93990 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270 + ... + 510.

It is an arithmetic number, because the mean of its divisors is an integer number (7623).

2⁹³⁹⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121968).

93990 is an abundant number, since it is smaller than the sum of its proper divisors (149946).

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

93990 is a wasteful number, since it uses less digits than its factorization.

93990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264.

The product of its (nonzero) digits is 2187, while the sum is 30.

The square root of 93990 is about 306.5778856995. The cubic root of 93990 is about 45.4667470274.

The spelling of 93990 in words is "ninety-three thousand, nine hundred ninety".