84556992 has 112 divisors (see below), whose sum is σ = 253756160. Its totient is φ = 24634368.

The previous prime is 84556991. The next prime is 84556999. The reversal of 84556992 is 29965548.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (84556991) 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, 46533 + ... + 48315.

It is an arithmetic number, because the mean of its divisors is an integer number (2265680).

Almost surely, 2^84556992 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 84556992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126878080).

84556992 is an abundant number, since it is smaller than the sum of its proper divisors (169199168).

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

84556992 is a wasteful number, since it uses less digits than its factorization.

84556992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1820 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 84556992 is about 9195.4875890297. The cubic root of 84556992 is about 438.9177811408.

The spelling of 84556992 in words is "eighty-four million, five hundred fifty-six thousand, nine hundred ninety-two".