56606121 has 64 divisors (see below), whose sum is σ = 100289280. Its totient is φ = 31492800.

The previous prime is 56606101. The next prime is 56606131. The reversal of 56606121 is 12160665.

It is a happy number.

56606121 is a `hidden beast` number, since 56 + 606 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 56606121 - 2⁷ = 56605993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56606101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312651 + ... + 312831.

It is an arithmetic number, because the mean of its divisors is an integer number (1567020).

Almost surely, 2^56606121 is an apocalyptic number.

It is an amenable number.

56606121 is a deficient number, since it is larger than the sum of its proper divisors (43683159).

56606121 is a wasteful number, since it uses less digits than its factorization.

56606121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 56606121 is about 7523.7039415437. The cubic root of 56606121 is about 383.9616050479.

Adding to 56606121 its reverse (12160665), we get a palindrome (68766786).

It can be divided in two parts, 5660 and 6121, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 56606121 in words is "fifty-six million, six hundred six thousand, one hundred twenty-one".