84532896 has 144 divisors (see below), whose sum is σ = 285090624. Its totient is φ = 24136704.

The previous prime is 84532871. The next prime is 84532909. The reversal of 84532896 is 69823548.

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

It is a super-2 number, since 2×84532896² = 14291621012293632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53656 + ... + 55208.

It is an arithmetic number, because the mean of its divisors is an integer number (1979796).

Almost surely, 2^84532896 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 84532896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142545312).

84532896 is an abundant number, since it is smaller than the sum of its proper divisors (200557728).

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

84532896 is a wasteful number, since it uses less digits than its factorization.

84532896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1565 counting only the distinct ones).

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

The square root of 84532896 is about 9194.1772878273. The cubic root of 84532896 is about 438.8760847363.

The spelling of 84532896 in words is "eighty-four million, five hundred thirty-two thousand, eight hundred ninety-six".