84049940 has 48 divisors (see below), whose sum is σ = 195241872. Its totient is φ = 30191616.

The previous prime is 84049919. The next prime is 84049943. The reversal of 84049940 is 4994048.

It can be written as a sum of positive squares in 8 ways, for example, as 839056 + 83210884 = 916^2 + 9122^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84049894 and 84049903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84049943) 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, 5252 + ... + 13988.

It is an arithmetic number, because the mean of its divisors is an integer number (4067539).

Almost surely, 2^84049940 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 84049940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97620936).

84049940 is an abundant number, since it is smaller than the sum of its proper divisors (111191932).

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

84049940 is a wasteful number, since it uses less digits than its factorization.

84049940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8796 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 84049940 is about 9167.8754354540. The cubic root of 84049940 is about 438.0386877415.

The spelling of 84049940 in words is "eighty-four million, forty-nine thousand, nine hundred forty".