84357540 has 36 divisors (see below), whose sum is σ = 255885084. Its totient is φ = 22495296.

The previous prime is 84357499. The next prime is 84357547. The reversal of 84357540 is 4575348.

84357540 is a `hidden beast` number, since 8 + 43 + 575 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18455616 + 65901924 = 4296^2 + 8118^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 84357495 and 84357504.

It is not an unprimeable number, because it can be changed into a prime (84357547) 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 11 ways as a sum of consecutive naturals, for example, 234147 + ... + 234506.

It is an arithmetic number, because the mean of its divisors is an integer number (7107919).

Almost surely, 2^84357540 is an apocalyptic number.

It is an amenable number.

84357540 is an abundant number, since it is smaller than the sum of its proper divisors (171527544).

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

84357540 is a wasteful number, since it uses less digits than its factorization.

84357540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468668 (or 468663 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 84357540 is about 9184.6360842442. The cubic root of 84357540 is about 438.5724048080.

The spelling of 84357540 in words is "eighty-four million, three hundred fifty-seven thousand, five hundred forty".