46006560 has 144 divisors (see below), whose sum is σ = 160864704. Its totient is φ = 11966976.

The previous prime is 46006547. The next prime is 46006579. The reversal of 46006560 is 6560064.

46006560 is a `hidden beast` number, since 4 + 6 + 0 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61549 + ... + 62291.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 2^46006560 is an apocalyptic number.

46006560 is a gapful number since it is divisible by the number (40) 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 46006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80432352).

46006560 is an abundant number, since it is smaller than the sum of its proper divisors (114858144).

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

46006560 is a wasteful number, since it uses less digits than its factorization.

46006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 46006560 is about 6782.8135755010. The cubic root of 46006560 is about 358.3218187514.

The spelling of 46006560 in words is "forty-six million, six thousand, five hundred sixty".