84664224 has 192 divisors, whose sum is σ = 266112000. Its totient is φ = 26127360.

The previous prime is 84664213. The next prime is 84664241. The reversal of 84664224 is 42246648.

It is a happy number.

84664224 is a `hidden beast` number, since 8 + 4 + 6 + 642 + 2 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776682 + ... + 776790.

It is an arithmetic number, because the mean of its divisors is an integer number (1386000).

Almost surely, 2^84664224 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 84664224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056000).

84664224 is an abundant number, since it is smaller than the sum of its proper divisors (181447776).

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

84664224 is a wasteful number, since it uses less digits than its factorization.

84664224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 84664224 is about 9201.3164275554. The cubic root of 84664224 is about 439.1032424437.

The spelling of 84664224 in words is "eighty-four million, six hundred sixty-four thousand, two hundred twenty-four".