84896352 has 144 divisors (see below), whose sum is σ = 256943232. Its totient is φ = 26542080.

The previous prime is 84896341. The next prime is 84896353. The reversal of 84896352 is 25369848.

84896352 is a `hidden beast` number, since 8 + 4 + 8 + 9 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 84896298 and 84896307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84896353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330208 + ... + 330464.

It is an arithmetic number, because the mean of its divisors is an integer number (1784328).

Almost surely, 2^84896352 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 84896352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128471616).

84896352 is an abundant number, since it is smaller than the sum of its proper divisors (172046880).

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

84896352 is a wasteful number, since it uses less digits than its factorization.

84896352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 84896352 is about 9213.9216406479. The cubic root of 84896352 is about 439.5041797799.

It can be divided in two parts, 8489 and 6352, that added together give a palindrome (14841).

The spelling of 84896352 in words is "eighty-four million, eight hundred ninety-six thousand, three hundred fifty-two".