46590768 has 240 divisors, whose sum is σ = 162846720. Its totient is φ = 12700800.

The previous prime is 46590767. The next prime is 46590769. The reversal of 46590768 is 86709564.

46590768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46590767) and next prime (46590769).

It is not an unprimeable number, because it can be changed into a prime (46590767) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 656173 + ... + 656243.

It is an arithmetic number, because the mean of its divisors is an integer number (678528).

Almost surely, 2^46590768 is an apocalyptic number.

46590768 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 46590768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

46590768 is an abundant number, since it is smaller than the sum of its proper divisors (116255952).

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

46590768 is a wasteful number, since it uses less digits than its factorization.

46590768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 46590768 is about 6825.7430364760. The cubic root of 46590768 is about 359.8321439687.

The spelling of 46590768 in words is "forty-six million, five hundred ninety thousand, seven hundred sixty-eight".