55624085 has 32 divisors (see below), whose sum is σ = 79035264. Its totient is φ = 37120000.

The previous prime is 55624081. The next prime is 55624087. The reversal of 55624085 is 58042655.

It is not a de Polignac number, because 55624085 - 2² = 55624081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55624081) 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 31 ways as a sum of consecutive naturals, for example, 37610 + ... + 39060.

It is an arithmetic number, because the mean of its divisors is an integer number (2469852).

Almost surely, 2^55624085 is an apocalyptic number.

55624085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55624085 is a deficient number, since it is larger than the sum of its proper divisors (23411179).

55624085 is a wasteful number, since it uses less digits than its factorization.

55624085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525.

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 55624085 is about 7458.1556030965. The cubic root of 55624085 is about 381.7282429799.

The spelling of 55624085 in words is "fifty-five million, six hundred twenty-four thousand, eighty-five".