45985968 has 200 divisors, whose sum is σ = 157361952. Its totient is φ = 12690432.

The previous prime is 45985939. The next prime is 45985991. The reversal of 45985968 is 86958954.

It is a happy number.

45985968 is a `hidden beast` number, since 45 + 9 + 8 + 596 + 8 = 666.

45985968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45985968² = 4229418505794048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 335596 + ... + 335732.

Almost surely, 2^45985968 is an apocalyptic number.

45985968 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 45985968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78680976).

45985968 is an abundant number, since it is smaller than the sum of its proper divisors (111375984).

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

45985968 is a wasteful number, since it uses less digits than its factorization.

45985968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

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

The square root of 45985968 is about 6781.2954514606. The cubic root of 45985968 is about 358.2683505503.

The spelling of 45985968 in words is "forty-five million, nine hundred eighty-five thousand, nine hundred sixty-eight".