83490 has 48 divisors (see below), whose sum is σ = 229824. Its totient is φ = 19360.

The previous prime is 83477. The next prime is 83497. The reversal of 83490 is 9438.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 83490.

It is not an unprimeable number, because it can be changed into a prime (83497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3619 + ... + 3641.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2⁸³⁴⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912).

83490 is an abundant number, since it is smaller than the sum of its proper divisors (146334).

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

83490 is a wasteful number, since it uses less digits than its factorization.

83490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 44 counting only the distinct ones).

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

The square root of 83490 is about 288.9463618044. The cubic root of 83490 is about 43.7063782894.

The spelling of 83490 in words is "eighty-three thousand, four hundred ninety".