55906641 has 48 divisors (see below), whose sum is σ = 95846400. Its totient is φ = 30741984.

The previous prime is 55906639. The next prime is 55906651. The reversal of 55906641 is 14660955.

55906641 is a `hidden beast` number, since 5 + 5 + 9 + 0 + 6 + 641 = 666.

It is not a de Polignac number, because 55906641 - 2¹ = 55906639 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 55906596 and 55906605.

It is not an unprimeable number, because it can be changed into a prime (55906651) 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 47 ways as a sum of consecutive naturals, for example, 233800 + ... + 234038.

It is an arithmetic number, because the mean of its divisors is an integer number (1996800).

Almost surely, 2^55906641 is an apocalyptic number.

It is an amenable number.

55906641 is a deficient number, since it is larger than the sum of its proper divisors (39939759).

55906641 is a wasteful number, since it uses less digits than its factorization.

55906641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 55906641 is about 7477.0743610051. The cubic root of 55906641 is about 382.3735119379.

The spelling of 55906641 in words is "fifty-five million, nine hundred six thousand, six hundred forty-one".