655872100 has 81 divisors (see below), whose sum is σ = 1549006977. Its totient is φ = 240938880.

The previous prime is 655872097. The next prime is 655872103. The reversal of 655872100 is 1278556.

The square root of 655872100 is 25610.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (655872097) and next prime (655872103).

It can be written as a sum of positive squares in 13 ways, for example, as 256192036 + 399680064 = 16006^2 + 19992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (655872103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3329202 + ... + 3329398.

Almost surely, 2^655872100 is an apocalyptic number.

655872100 is the 25610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 655872100

655872100 is an abundant number, since it is smaller than the sum of its proper divisors (893134877).

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

655872100 is a wasteful number, since it uses less digits than its factorization.

655872100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The cubic root of 655872100 is about 868.8398240543.

The spelling of 655872100 in words is "six hundred fifty-five million, eight hundred seventy-two thousand, one hundred".