283961568 has 96 divisors (see below), whose sum is σ = 820955520. Its totient is φ = 85224960.

The previous prime is 283961567. The next prime is 283961609. The reversal of 283961568 is 865169382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (622080) is a multiple of the sum of its prime divisors (2592).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283961563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113871 + ... + 116337.

It is an arithmetic number, because the mean of its divisors is an integer number (8551620).

Almost surely, 2^283961568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283961568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410477760).

283961568 is an abundant number, since it is smaller than the sum of its proper divisors (536993952).

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

283961568 is a wasteful number, since it uses less digits than its factorization.

283961568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2592 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 283961568 is about 16851.1592479568. The cubic root of 283961568 is about 657.2841937061.

The spelling of 283961568 in words is "two hundred eighty-three million, nine hundred sixty-one thousand, five hundred sixty-eight".