84274944 has 144 divisors (see below), whose sum is σ = 252736512. Its totient is φ = 24735744.

The previous prime is 84274943. The next prime is 84274961. The reversal of 84274944 is 44947248.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 84274896 and 84274905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84274943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229449 + ... + 229815.

Almost surely, 2^84274944 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 84274944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126368256).

84274944 is an abundant number, since it is smaller than the sum of its proper divisors (168461568).

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

84274944 is a wasteful number, since it uses less digits than its factorization.

84274944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 84274944 is about 9180.1385610458. The cubic root of 84274944 is about 438.4292199964.

The spelling of 84274944 in words is "eighty-four million, two hundred seventy-four thousand, nine hundred forty-four".