646416 has 45 divisors (see below), whose sum is σ = 1836471. Its totient is φ = 212256.

The previous prime is 646411. The next prime is 646421. The reversal of 646416 is 614646.

The square root of 646416 is 804.

It is a perfect power (a square), and thus also a powerful number.

646416 is a `hidden beast` number, since 646 + 4 + 16 = 666.

646416 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (646411) and next prime (646421).

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

Its product of digits (3456) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 646416.

It is not an unprimeable number, because it can be changed into a prime (646411) by changing a digit.

646416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9615 + ... + 9681.

2⁶⁴⁶⁴¹⁶ is an apocalyptic number.

646416 is the 804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646416

646416 is an abundant number, since it is smaller than the sum of its proper divisors (1190055).

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

646416 is a wasteful number, since it uses less digits than its factorization.

646416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 72 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The cubic root of 646416 is about 86.4644067087.

The spelling of 646416 in words is "six hundred forty-six thousand, four hundred sixteen".