84860892 has 96 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 26744256.

The previous prime is 84860891. The next prime is 84860899. The reversal of 84860892 is 29806848.

It is a happy number.

It is a super-3 number, since 3×84860892³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84860891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315334 + ... + 315602.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2^84860892 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 84860892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

84860892 is an abundant number, since it is smaller than the sum of its proper divisors (147382308).

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

84860892 is a wasteful number, since it uses less digits than its factorization.

84860892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 84860892 is about 9211.9971775940. The cubic root of 84860892 is about 439.4429797078.

The spelling of 84860892 in words is "eighty-four million, eight hundred sixty thousand, eight hundred ninety-two".