84164964 has 48 divisors (see below), whose sum is σ = 216666240. Its totient is φ = 25263360.

The previous prime is 84164953. The next prime is 84164987. The reversal of 84164964 is 46946148.

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, 184 + ... + 12975.

It is an arithmetic number, because the mean of its divisors is an integer number (4513880).

Almost surely, 2^84164964 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 84164964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108333120).

84164964 is an abundant number, since it is smaller than the sum of its proper divisors (132501276).

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

84164964 is a wasteful number, since it uses less digits than its factorization.

84164964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13220 (or 13218 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 84164964 is about 9174.1464998113. The cubic root of 84164964 is about 438.2384181843.

The spelling of 84164964 in words is "eighty-four million, one hundred sixty-four thousand, nine hundred sixty-four".