84672896 has 128 divisors (see below), whose sum is σ = 215032320. Its totient is φ = 32524800.

The previous prime is 84672893. The next prime is 84672923. The reversal of 84672896 is 69827648.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84672893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192541 + ... + 1192611.

It is an arithmetic number, because the mean of its divisors is an integer number (1679940).

Almost surely, 2^84672896 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 84672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107516160).

84672896 is an abundant number, since it is smaller than the sum of its proper divisors (130359424).

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

84672896 is an equidigital number, since it uses as much as digits as its factorization.

84672896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 91 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 50.

The square root of 84672896 is about 9201.7876524075. The cubic root of 84672896 is about 439.1182341098.

The spelling of 84672896 in words is "eighty-four million, six hundred seventy-two thousand, eight hundred ninety-six".