1004006700 has 108 divisors (see below), whose sum is σ = 3168547200. Its totient is φ = 265902720.

The previous prime is 1004006687. The next prime is 1004006713. The reversal of 1004006700 is 76004001.

It is an interprime number because it is at equal distance from previous prime (1004006687) and next prime (1004006713).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130357 + ... + 137843.

It is an arithmetic number, because the mean of its divisors is an integer number (29338400).

Almost surely, 2^1004006700 is an apocalyptic number.

1004006700 is a gapful number since it is divisible by the number (10) 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 1004006700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584273600).

1004006700 is an abundant number, since it is smaller than the sum of its proper divisors (2164540500).

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

1004006700 is a wasteful number, since it uses less digits than its factorization.

1004006700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7656 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1004006700 is about 31686.0647603959. The cubic root of 1004006700 is about 1001.3337868883. Note that the first 3 decimals are identical.

The spelling of 1004006700 in words is "one billion, four million, six thousand, seven hundred".