84353940 has 144 divisors (see below), whose sum is σ = 288684480. Its totient is φ = 20433600.

The previous prime is 84353923. The next prime is 84353981. The reversal of 84353940 is 4935348.

84353940 is a `hidden beast` number, since 84 + 3 + 539 + 40 = 666.

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 = 84353895 and 84353904.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 64695 + ... + 65985.

Almost surely, 2^84353940 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 84353940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144342240).

84353940 is an abundant number, since it is smaller than the sum of its proper divisors (204330540).

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

84353940 is a wasteful number, since it uses less digits than its factorization.

84353940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 84353940 is about 9184.4401026954. The cubic root of 84353940 is about 438.5661659540.

The spelling of 84353940 in words is "eighty-four million, three hundred fifty-three thousand, nine hundred forty".