84227940 has 144 divisors (see below), whose sum is σ = 266653296. Its totient is φ = 21504000.

The previous prime is 84227933. The next prime is 84227959. The reversal of 84227940 is 4972248.

It can be written as a sum of positive squares in 8 ways, for example, as 11943936 + 72284004 = 3456^2 + 8502^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84227895 and 84227904.

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, 745324 + ... + 745436.

It is an arithmetic number, because the mean of its divisors is an integer number (1851759).

Almost surely, 2^84227940 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 84227940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133326648).

84227940 is an abundant number, since it is smaller than the sum of its proper divisors (182425356).

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

84227940 is a wasteful number, since it uses less digits than its factorization.

84227940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 84227940 is about 9177.5781118986. The cubic root of 84227940 is about 438.3476941454.

It can be divided in two parts, 842 and 27940, that added together give a palindrome (28782).

The spelling of 84227940 in words is "eighty-four million, two hundred twenty-seven thousand, nine hundred forty".