84967792 has 90 divisors (see below), whose sum is σ = 206814888. Its totient is φ = 33111936.

The previous prime is 84967787. The next prime is 84967793. The reversal of 84967792 is 29776948.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84967793) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1268143 + ... + 1268209.

Almost surely, 2^84967792 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 84967792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103407444).

84967792 is an abundant number, since it is smaller than the sum of its proper divisors (121847096).

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

84967792 is a wasteful number, since it uses less digits than its factorization.

84967792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 89 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 52.

The square root of 84967792 is about 9217.7975677490. The cubic root of 84967792 is about 439.6274256549.

The spelling of 84967792 in words is "eighty-four million, nine hundred sixty-seven thousand, seven hundred ninety-two".