84646944 has 180 divisors, whose sum is σ = 266789754. Its totient is φ = 26320896.

The previous prime is 84646943. The next prime is 84646967. The reversal of 84646944 is 44964648.

It can be written as a sum of positive squares in 3 ways, for example, as 70358544 + 14288400 = 8388^2 + 3780^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 84646944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84646943) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 749032 + ... + 749144.

Almost surely, 2^84646944 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 84646944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133394877).

84646944 is an abundant number, since it is smaller than the sum of its proper divisors (182142810).

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

84646944 is a wasteful number, since it uses less digits than its factorization.

84646944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 135 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 84646944 is about 9200.3773835642. The cubic root of 84646944 is about 439.0733666987.

The spelling of 84646944 in words is "eighty-four million, six hundred forty-six thousand, nine hundred forty-four".