84696672 has 96 divisors (see below), whose sum is σ = 235146240. Its totient is φ = 26639360.

The previous prime is 84696671. The next prime is 84696691. The reversal of 84696672 is 27669648.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84696671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196297 + ... + 196727.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2^84696672 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 84696672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117573120).

84696672 is an abundant number, since it is smaller than the sum of its proper divisors (150449568).

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

84696672 is a wasteful number, since it uses less digits than its factorization.

84696672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 548 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 84696672 is about 9203.0794846073. The cubic root of 84696672 is about 439.1593314721.

The spelling of 84696672 in words is "eighty-four million, six hundred ninety-six thousand, six hundred seventy-two".