45816 has 32 divisors (see below), whose sum is σ = 120960. Its totient is φ = 14432.

The previous prime is 45779. The next prime is 45817. The reversal of 45816 is 61854.

45816 = T₁₀₃ + T₁₀₄ + ... + T₁₁₀.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45817) by changing a digit.

45816 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 7 ways as a sum of consecutive naturals, for example, 511 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁴⁵⁸¹⁶ is an apocalyptic number.

45816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

45816 is an abundant number, since it is smaller than the sum of its proper divisors (75144).

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

45816 is a wasteful number, since it uses less digits than its factorization.

45816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 45816 is about 214.0467238712. The cubic root of 45816 is about 35.7826408980.

It can be divided in two parts, 458 and 16, that added together give a palindrome (474).

The spelling of 45816 in words is "forty-five thousand, eight hundred sixteen".