1684222560 has 288 divisors, whose sum is σ = 6142106880. Its totient is φ = 419328000.

The previous prime is 1684222549. The next prime is 1684222577. The reversal of 1684222560 is 652224861.

It is a happy number.

1684222560 is a `hidden beast` number, since 16 + 84 + 2 + 2 + 2 + 560 = 666.

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

It is a super-2 number, since 2×1684222560² = 5673211263225907200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1293910 + ... + 1295210.

It is an arithmetic number, because the mean of its divisors is an integer number (21326760).

Almost surely, 2^1684222560 is an apocalyptic number.

1684222560 is a gapful number since it is divisible by the number (10) 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 1684222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071053440).

1684222560 is an abundant number, since it is smaller than the sum of its proper divisors (4457884320).

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

1684222560 is a wasteful number, since it uses less digits than its factorization.

1684222560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1684222560 is about 41039.2806954508. The cubic root of 1684222560 is about 1189.7795321628.

The spelling of 1684222560 in words is "one billion, six hundred eighty-four million, two hundred twenty-two thousand, five hundred sixty".