84129696 has 144 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 23192064.

The previous prime is 84129677. The next prime is 84129751. The reversal of 84129696 is 69692148.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 57745 + ... + 59183.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^84129696 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 84129696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

84129696 is an abundant number, since it is smaller than the sum of its proper divisors (198916704).

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

84129696 is a wasteful number, since it uses less digits than its factorization.

84129696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1480 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 84129696 is about 9172.2241577493. The cubic root of 84129696 is about 438.1771973344.

The spelling of 84129696 in words is "eighty-four million, one hundred twenty-nine thousand, six hundred ninety-six".