845616672 has 192 divisors, whose sum is σ = 2563989120. Its totient is φ = 274337280.

The previous prime is 845616661. The next prime is 845616683. The reversal of 845616672 is 276616548.

845616672 is a `hidden beast` number, since 84 + 561 + 6 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (845616661) and next prime (845616683).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3009172 + ... + 3009452.

It is an arithmetic number, because the mean of its divisors is an integer number (13354110).

Almost surely, 2^845616672 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 845616672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281994560).

845616672 is an abundant number, since it is smaller than the sum of its proper divisors (1718372448).

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

845616672 is an equidigital number, since it uses as much as digits as its factorization.

845616672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 329 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 845616672 is about 29079.4888538296. The cubic root of 845616672 is about 945.6371213750.

The spelling of 845616672 in words is "eight hundred forty-five million, six hundred sixteen thousand, six hundred seventy-two".