84820140 has 144 divisors (see below), whose sum is σ = 278093088. Its totient is φ = 20846592.

The previous prime is 84820117. The next prime is 84820171. The reversal of 84820140 is 4102848.

It is a super-3 number, since 3×84820140³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161919 + ... + 162441.

It is an arithmetic number, because the mean of its divisors is an integer number (1931202).

Almost surely, 2^84820140 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 84820140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139046544).

84820140 is an abundant number, since it is smaller than the sum of its proper divisors (193272948).

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

84820140 is a wasteful number, since it uses less digits than its factorization.

84820140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 84820140 is about 9209.7850137775. The cubic root of 84820140 is about 439.3726251653.

Adding to 84820140 its reverse (4102848), we get a palindrome (88922988).

It can be divided in two parts, 848201 and 40, that added together give a square (848241 = 921²).

The spelling of 84820140 in words is "eighty-four million, eight hundred twenty thousand, one hundred forty".