8032416 has 48 divisors (see below), whose sum is σ = 24099264. Its totient is φ = 2294784.

The previous prime is 8032411. The next prime is 8032439. The reversal of 8032416 is 6142308.

It is a happy number.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (8032411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5305 + ... + 6648.

It is an arithmetic number, because the mean of its divisors is an integer number (502068).

Almost surely, 2^8032416 is an apocalyptic number.

It is an amenable number.

8032416 is an abundant number, since it is smaller than the sum of its proper divisors (16066848).

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

8032416 is a wasteful number, since it uses less digits than its factorization.

8032416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11973 (or 11965 counting only the distinct ones).

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

The square root of 8032416 is about 2834.1517249435. The cubic root of 8032416 is about 200.2697692924.

It can be divided in two parts, 8032 and 416, that added together give a palindrome (8448).

The spelling of 8032416 in words is "eight million, thirty-two thousand, four hundred sixteen".