46061664 has 96 divisors (see below), whose sum is σ = 134555904. Its totient is φ = 13678080.

The previous prime is 46061627. The next prime is 46061689. The reversal of 46061664 is 46616064.

46061664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 55557 + ... + 56379.

It is an arithmetic number, because the mean of its divisors is an integer number (1401624).

Almost surely, 2^46061664 is an apocalyptic number.

46061664 is a gapful number since it is divisible by the number (44) 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 46061664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67277952).

46061664 is an abundant number, since it is smaller than the sum of its proper divisors (88494240).

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

46061664 is a wasteful number, since it uses less digits than its factorization.

46061664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 46061664 is about 6786.8743910581. The cubic root of 46061664 is about 358.4648207321.

The spelling of 46061664 in words is "forty-six million, sixty-one thousand, six hundred sixty-four".