86984352 has 144 divisors (see below), whose sum is σ = 304536960. Its totient is φ = 22934016.

The previous prime is 86984351. The next prime is 86984363. The reversal of 86984352 is 25348968.

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 = 86984298 and 86984307.

It is not an unprimeable number, because it can be changed into a prime (86984351) 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, 24549 + ... + 27867.

It is an arithmetic number, because the mean of its divisors is an integer number (2114840).

Almost surely, 2^86984352 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 86984352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152268480).

86984352 is an abundant number, since it is smaller than the sum of its proper divisors (217552608).

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

86984352 is a wasteful number, since it uses less digits than its factorization.

86984352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3344 counting only the distinct ones).

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

The square root of 86984352 is about 9326.5401945202. The cubic root of 86984352 is about 443.0781946634.

The spelling of 86984352 in words is "eighty-six million, nine hundred eighty-four thousand, three hundred fifty-two".