846228100 has 27 divisors (see below), whose sum is σ = 1836946447. Its totient is φ = 338374880.

The previous prime is 846228083. The next prime is 846228101. The reversal of 846228100 is 1822648.

The square root of 846228100 is 29090.

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

It can be written as a sum of positive squares in 4 ways, for example, as 60435076 + 785793024 = 7774^2 + 28032^2 .

It is a super-2 number, since 2×846228100² = 1432203994459220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (846228101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 289446 + ... + 292354.

Almost surely, 2^846228100 is an apocalyptic number.

846228100 is the 29090-th square number.

It is an amenable number.

846228100 is an abundant number, since it is smaller than the sum of its proper divisors (990718347).

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

846228100 is an equidigital number, since it uses as much as digits as its factorization.

846228100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The cubic root of 846228100 is about 945.8649825855.

The spelling of 846228100 in words is "eight hundred forty-six million, two hundred twenty-eight thousand, one hundred".