84824064 has 208 divisors, whose sum is σ = 275217600. Its totient is φ = 25657344.

The previous prime is 84824057. The next prime is 84824093. The reversal of 84824064 is 46042848.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437667 + ... + 1437725.

Almost surely, 2^84824064 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 84824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137608800).

84824064 is an abundant number, since it is smaller than the sum of its proper divisors (190393536).

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

84824064 is a wasteful number, since it uses less digits than its factorization.

84824064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 84824064 is about 9209.9980456024. The cubic root of 84824064 is about 439.3794005671.

Adding to 84824064 its sum of digits (36), we get a square (84824100 = 9210²).

The spelling of 84824064 in words is "eighty-four million, eight hundred twenty-four thousand, sixty-four".