84664320 has 224 divisors, whose sum is σ = 297253152. Its totient is φ = 20447232.

The previous prime is 84664313. The next prime is 84664337. The reversal of 84664320 is 2346648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1597414 + ... + 1597466.

It is an arithmetic number, because the mean of its divisors is an integer number (1327023).

Almost surely, 2^84664320 is an apocalyptic number.

84664320 is a gapful number since it is divisible by the number (80) 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 84664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148626576).

84664320 is an abundant number, since it is smaller than the sum of its proper divisors (212588832).

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

84664320 is a wasteful number, since it uses less digits than its factorization.

84664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 84664320 is about 9201.3216441987. The cubic root of 84664320 is about 439.1034084087.

The spelling of 84664320 in words is "eighty-four million, six hundred sixty-four thousand, three hundred twenty".