84644352 has 200 divisors, whose sum is σ = 273807996. Its totient is φ = 25878528.

The previous prime is 84644341. The next prime is 84644369. The reversal of 84644352 is 25344648.

84644352 is a `hidden beast` number, since 8 + 4 + 644 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 7485696 = 8784^2 + 2736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 539058 + ... + 539214.

Almost surely, 2^84644352 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 84644352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136903998).

84644352 is an abundant number, since it is smaller than the sum of its proper divisors (189163644).

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

84644352 is a wasteful number, since it uses less digits than its factorization.

84644352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 175 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 84644352 is about 9200.2365186989. The cubic root of 84644352 is about 439.0688849863.

The spelling of 84644352 in words is "eighty-four million, six hundred forty-four thousand, three hundred fifty-two".