283641120 has 288 divisors, whose sum is σ = 1165207680. Its totient is φ = 61378560.

The previous prime is 283641109. The next prime is 283641121. The reversal of 283641120 is 21146382.

283641120 is a `hidden beast` number, since 2 + 8 + 3 + 641 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (283641121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190780 + ... + 192260.

It is an arithmetic number, because the mean of its divisors is an integer number (4045860).

Almost surely, 2^283641120 is an apocalyptic number.

283641120 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 283641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582603840).

283641120 is an abundant number, since it is smaller than the sum of its proper divisors (881566560).

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

283641120 is a wasteful number, since it uses less digits than its factorization.

283641120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 283641120 is about 16841.6483753818. The cubic root of 283641120 is about 657.0368542673.

It can be divided in two parts, 2836 and 41120, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 283641120 in words is "two hundred eighty-three million, six hundred forty-one thousand, one hundred twenty".