45968 has 30 divisors (see below), whose sum is σ = 102114. Its totient is φ = 19968.
The previous prime is 45959. The next prime is 45971. The reversal of 45968 is 86954.
It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 44944 = 32^2 + 212^2 .
It is a super-2 number, since 2×459682 = 4226114048, which contains 22 as substring.
Its product of digits (8640) is a multiple of the sum of its prime divisors (32).
It is an unprimeable number.
45968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2696 + ... + 2712.
245968 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 45968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51057).
45968 is an abundant number, since it is smaller than the sum of its proper divisors (56146).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45968 is a wasteful number, since it uses less digits than its factorization.
45968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 51 (or 32 counting only the distinct ones).
The product of its digits is 8640, while the sum is 32.
The square root of 45968 is about 214.4014925321. The cubic root of 45968 is about 35.8221682660.
The spelling of 45968 in words is "forty-five thousand, nine hundred sixty-eight".
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