670332100 has 72 divisors (see below), whose sum is σ = 1593413640. Its totient is φ = 243640320.

The previous prime is 670332073. The next prime is 670332107. The reversal of 670332100 is 1233076.

It can be written as a sum of positive squares in 12 ways, for example, as 223263364 + 447068736 = 14942^2 + 21144^2 .

It is not an unprimeable number, because it can be changed into a prime (670332107) 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, 42502 + ... + 56098.

It is an arithmetic number, because the mean of its divisors is an integer number (22130745).

Almost surely, 2^670332100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796706820).

670332100 is an abundant number, since it is smaller than the sum of its proper divisors (923081540).

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

670332100 is a wasteful number, since it uses less digits than its factorization.

670332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13657 (or 13650 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 670332100 is about 25890.7724875099. The cubic root of 670332100 is about 875.1785649176.

Adding to 670332100 its reverse (1233076), we get a palindrome (671565176).

The spelling of 670332100 in words is "six hundred seventy million, three hundred thirty-two thousand, one hundred".