1684032480 has 144 divisors (see below), whose sum is σ = 6188888160. Its totient is φ = 414526464.

The previous prime is 1684032463. The next prime is 1684032487. The reversal of 1684032480 is 842304861.

1684032480 is a `hidden beast` number, since 1 + 6 + 8 + 403 + 248 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684032487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26260 + ... + 63699.

It is an arithmetic number, because the mean of its divisors is an integer number (42978390).

Almost surely, 2^1684032480 is an apocalyptic number.

1684032480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1684032480 is an abundant number, since it is smaller than the sum of its proper divisors (4504855680).

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

1684032480 is a wasteful number, since it uses less digits than its factorization.

1684032480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89993 (or 89982 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1684032480 is about 41036.9648000434. The cubic root of 1684032480 is about 1189.7347712926.

The spelling of 1684032480 in words is "one billion, six hundred eighty-four million, thirty-two thousand, four hundred eighty".