45696 has 64 divisors (see below), whose sum is σ = 146880. Its totient is φ = 12288.
The previous prime is 45691. The next prime is 45697. The reversal of 45696 is 69654.
It is a tau number, because it is divible by the number of its divisors (64).
It is an alternating number because its digits alternate between even and odd.
It is not an unprimeable number, because it can be changed into a prime (45691) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2680 + ... + 2696.
It is an arithmetic number, because the mean of its divisors is an integer number (2295).
245696 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 45696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440).
45696 is an abundant number, since it is smaller than the sum of its proper divisors (101184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45696 is a wasteful number, since it uses less digits than its factorization.
45696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 41 (or 29 counting only the distinct ones).
The product of its digits is 6480, while the sum is 30.
The square root of 45696 is about 213.7662274542. The cubic root of 45696 is about 35.7513732825.
It can be divided in two parts, 45 and 696, that added together give a triangular number (741 = T38).
The spelling of 45696 in words is "forty-five thousand, six hundred ninety-six".
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