84640896 has 128 divisors (see below), whose sum is σ = 263160000. Its totient is φ = 26707968.

The previous prime is 84640861. The next prime is 84640901. The reversal of 84640896 is 69804648.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65020 + ... + 66308.

Almost surely, 2^84640896 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 84640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131580000).

84640896 is an abundant number, since it is smaller than the sum of its proper divisors (178519104).

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

84640896 is a wasteful number, since it uses less digits than its factorization.

84640896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 84640896 is about 9200.0486955233. The cubic root of 84640896 is about 439.0629092274.

The spelling of 84640896 in words is "eighty-four million, six hundred forty thousand, eight hundred ninety-six".