84563640 has 192 divisors, whose sum is σ = 327974400. Its totient is φ = 18475776.

The previous prime is 84563639. The next prime is 84563641. The reversal of 84563640 is 4636548.

84563640 is a `hidden beast` number, since 8 + 4 + 5 + 6 + 3 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (84563639) and next prime (84563641).

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 = 84563595 and 84563604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84563641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57231 + ... + 58689.

It is an arithmetic number, because the mean of its divisors is an integer number (1708200).

Almost surely, 2^84563640 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 84563640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163987200).

84563640 is an abundant number, since it is smaller than the sum of its proper divisors (243410760).

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

84563640 is a wasteful number, since it uses less digits than its factorization.

84563640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 84563640 is about 9195.8490635721. The cubic root of 84563640 is about 438.9292836351.

The spelling of 84563640 in words is "eighty-four million, five hundred sixty-three thousand, six hundred forty".