832416 has 96 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 236544.

The previous prime is 832411. The next prime is 832421. The reversal of 832416 is 614238.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (832411) and next prime (832421).

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832411) by changing a digit.

832416 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 15 ways as a sum of consecutive naturals, for example, 28690 + ... + 28718.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁸³²⁴¹⁶ 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 832416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

832416 is an abundant number, since it is smaller than the sum of its proper divisors (1707744).

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

832416 is a wasteful number, since it uses less digits than its factorization.

832416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 832416 is about 912.3683466671. The cubic root of 832416 is about 94.0690604615.

The spelling of 832416 in words is "eight hundred thirty-two thousand, four hundred sixteen".