1682679492 has 72 divisors (see below), whose sum is σ = 4643470104. Its totient is φ = 510644736.

The previous prime is 1682679491. The next prime is 1682679527. The reversal of 1682679492 is 2949762861.

1682679492 is a `hidden beast` number, since 1 + 6 + 82 + 6 + 79 + 492 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 367236 + 1682312256 = 606^2 + 41016^2 .

It is not an unprimeable number, because it can be changed into a prime (1682679491) 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, 9538 + ... + 58790.

Almost surely, 2^1682679492 is an apocalyptic number.

1682679492 is a gapful number since it is divisible by the number (12) 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 1682679492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321735052).

1682679492 is an abundant number, since it is smaller than the sum of its proper divisors (2960790612).

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

1682679492 is a wasteful number, since it uses less digits than its factorization.

1682679492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49349 (or 49344 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 1682679492 is about 41020.4764965011. The cubic root of 1682679492 is about 1189.4160664045.

The spelling of 1682679492 in words is "one billion, six hundred eighty-two million, six hundred seventy-nine thousand, four hundred ninety-two".