84963564 has 144 divisors (see below), whose sum is σ = 260402688. Its totient is φ = 22834944.

The previous prime is 84963547. The next prime is 84963589. The reversal of 84963564 is 46536948.

84963564 is a `hidden beast` number, since 8 + 4 + 9 + 635 + 6 + 4 = 666.

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, 620104 + ... + 620240.

It is an arithmetic number, because the mean of its divisors is an integer number (1808352).

Almost surely, 2^84963564 is an apocalyptic number.

84963564 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84963564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130201344).

84963564 is an abundant number, since it is smaller than the sum of its proper divisors (175439124).

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

84963564 is a wasteful number, since it uses less digits than its factorization.

84963564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 279 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 84963564 is about 9217.5682259477. The cubic root of 84963564 is about 439.6201335757.

The spelling of 84963564 in words is "eighty-four million, nine hundred sixty-three thousand, five hundred sixty-four".