1684723968 has 144 divisors (see below), whose sum is σ = 5008944640. Its totient is φ = 558544896.

The previous prime is 1684723967. The next prime is 1684723973. The reversal of 1684723968 is 8693274861.

1684723968 is a `hidden beast` number, since 168 + 472 + 3 + 9 + 6 + 8 = 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 (54).

It is not an unprimeable number, because it can be changed into a prime (1684723967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1540830 + ... + 1541922.

Almost surely, 2^1684723968 is an apocalyptic number.

1684723968 is a gapful number since it is divisible by the number (18) 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 1684723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504472320).

1684723968 is an abundant number, since it is smaller than the sum of its proper divisors (3324220672).

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

1684723968 is a wasteful number, since it uses less digits than its factorization.

1684723968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1321 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 1684723968 is about 41045.3891198512. The cubic root of 1684723968 is about 1189.8975897558.

The spelling of 1684723968 in words is "one billion, six hundred eighty-four million, seven hundred twenty-three thousand, nine hundred sixty-eight".