1682001700 has 18 divisors (see below), whose sum is σ = 3649943906. Its totient is φ = 672800640.

The previous prime is 1682001697. The next prime is 1682001703. The reversal of 1682001700 is 71002861.

It is an interprime number because it is at equal distance from previous prime (1682001697) and next prime (1682001703).

It can be written as a sum of positive squares in 3 ways, for example, as 200675556 + 1481326144 = 14166^2 + 38488^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1682001703) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8409909 + ... + 8410108.

Almost surely, 2^1682001700 is an apocalyptic number.

1682001700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682001700 is an abundant number, since it is smaller than the sum of its proper divisors (1967942206).

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

1682001700 is a wasteful number, since it uses less digits than its factorization.

1682001700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16820031 (or 16820024 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1682001700 is about 41012.2140343581. The cubic root of 1682001700 is about 1189.2563439763.

The spelling of 1682001700 in words is "one billion, six hundred eighty-two million, one thousand, seven hundred".