283920 has 120 divisors (see below), whose sum is σ = 1089216. Its totient is φ = 59904.

The previous prime is 283909. The next prime is 283937. The reversal of 283920 is 29382.

283920 = T₂₉ + T₃₀ + ... + T₁₁₉.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×283920² = 161221132800, which contains 22 as substring.

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

It is an unprimeable number.

283920 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 23 ways as a sum of consecutive naturals, for example, 21834 + ... + 21846.

2²⁸³⁹²⁰ is an apocalyptic number.

283920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544608).

283920 is an abundant number, since it is smaller than the sum of its proper divisors (805296).

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

283920 is a wasteful number, since it uses less digits than its factorization.

283920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 30 counting only the distinct ones).

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

The square root of 283920 is about 532.8414398299. The cubic root of 283920 is about 65.7252119738.

The spelling of 283920 in words is "two hundred eighty-three thousand, nine hundred twenty".