283832640 has 672 divisors, whose sum is σ = 1300642560. Its totient is φ = 56733696.

The previous prime is 283832639. The next prime is 283832669. The reversal of 283832640 is 46238382.

283832640 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 283832595 and 283832604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14938551 + ... + 14938569.

It is an arithmetic number, because the mean of its divisors is an integer number (1935480).

Almost surely, 2^283832640 is an apocalyptic number.

283832640 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 283832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650321280).

283832640 is an abundant number, since it is smaller than the sum of its proper divisors (1016809920).

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

283832640 is a wasteful number, since it uses less digits than its factorization.

283832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 283832640 is about 16847.3333201430. Note that the first 4 decimals coincide. The cubic root of 283832640 is about 657.1847023493.

The spelling of 283832640 in words is "two hundred eighty-three million, eight hundred thirty-two thousand, six hundred forty".