92064 has 48 divisors (see below), whose sum is σ = 278208. Its totient is φ = 26112.

The previous prime is 92051. The next prime is 92077. The reversal of 92064 is 46029.

It is an interprime number because it is at equal distance from previous prime (92051) and next prime (92077).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 92064.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 604 + ... + 740.

It is an arithmetic number, because the mean of its divisors is an integer number (5796).

2⁹²⁰⁶⁴ 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 92064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139104).

92064 is an abundant number, since it is smaller than the sum of its proper divisors (186144).

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

92064 is a wasteful number, since it uses less digits than its factorization.

92064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 92064 is about 303.4205002962. The cubic root of 92064 is about 45.1540400035.

The spelling of 92064 in words is "ninety-two thousand, sixty-four".