1006682700 has 72 divisors (see below), whose sum is σ = 3065984320. Its totient is φ = 254318400.

The previous prime is 1006682687. The next prime is 1006682711. The reversal of 1006682700 is 72866001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82606 + ... + 94005.

Almost surely, 2^1006682700 is an apocalyptic number.

1006682700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006682700 is an abundant number, since it is smaller than the sum of its proper divisors (2059301620).

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

1006682700 is a wasteful number, since it uses less digits than its factorization.

1006682700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176647 (or 176640 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1006682700 is about 31728.2634255328. The cubic root of 1006682700 is about 1002.2226229539. Note that the first 3 decimals are identical.

The spelling of 1006682700 in words is "one billion, six million, six hundred eighty-two thousand, seven hundred".