283960080 has 180 divisors, whose sum is σ = 992090892. Its totient is φ = 75582720.

The previous prime is 283960069. The next prime is 283960081. The reversal of 283960080 is 80069382.

It can be written as a sum of positive squares in 2 ways, for example, as 107495424 + 176464656 = 10368^2 + 13284^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (283960081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524610 + ... + 525150.

Almost surely, 2^283960080 is an apocalyptic number.

283960080 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 283960080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496045446).

283960080 is an abundant number, since it is smaller than the sum of its proper divisors (708130812).

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

283960080 is an frugal number, since it uses more digits than its factorization.

283960080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 283960080 is about 16851.1150966338. The cubic root of 283960080 is about 657.2830456158.

The spelling of 283960080 in words is "two hundred eighty-three million, nine hundred sixty thousand, eighty".