45859968 has 288 divisors, whose sum is σ = 169303680. Its totient is φ = 11658240.

The previous prime is 45859963. The next prime is 45859981. The reversal of 45859968 is 86995854.

It is a happy number.

45859968 is a `hidden beast` number, since 45 + 8 + 599 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×45859968² = 4206273329922048, which contains 22 as substring.

Its product of digits (3110400) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45859963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 975721 + ... + 975767.

It is an arithmetic number, because the mean of its divisors is an integer number (587860).

Almost surely, 2^45859968 is an apocalyptic number.

45859968 is a gapful number since it is divisible by the number (48) 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 45859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84651840).

45859968 is an abundant number, since it is smaller than the sum of its proper divisors (123443712).

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

45859968 is a wasteful number, since it uses less digits than its factorization.

45859968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 45859968 is about 6771.9988186650. The cubic root of 45859968 is about 357.9408368468.

The spelling of 45859968 in words is "forty-five million, eight hundred fifty-nine thousand, nine hundred sixty-eight".