392064 has 32 divisors (see below), whose sum is σ = 1042440. Its totient is φ = 130560.

The previous prime is 392059. The next prime is 392069. The reversal of 392064 is 460293.

392064 = T₅ + T₆ + ... + T₁₃₂.

It is an interprime number because it is at equal distance from previous prime (392059) and next prime (392069).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 392064.

It is not an unprimeable number, because it can be changed into a prime (392069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127 + ... + 894.

2³⁹²⁰⁶⁴ 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 392064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521220).

392064 is an abundant number, since it is smaller than the sum of its proper divisors (650376).

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

392064 is a wasteful number, since it uses less digits than its factorization.

392064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 392064 is about 626.1501417392. The cubic root of 392064 is about 73.1900969015.

The spelling of 392064 in words is "three hundred ninety-two thousand, sixty-four".