84892000 has 96 divisors (see below), whose sum is σ = 219754080. Its totient is φ = 32140800.

The previous prime is 84891991. The next prime is 84892001. The reversal of 84892000 is 29848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84892001) 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, 75442 + ... + 76558.

It is an arithmetic number, because the mean of its divisors is an integer number (2289105).

Almost surely, 2^84892000 is an apocalyptic number.

84892000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109877040).

84892000 is an abundant number, since it is smaller than the sum of its proper divisors (134862080).

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

84892000 is a wasteful number, since it uses less digits than its factorization.

84892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 84892000 is about 9213.6854732512. The cubic root of 84892000 is about 439.4966696225.

The spelling of 84892000 in words is "eighty-four million, eight hundred ninety-two thousand".