55966590 has 96 divisors (see below), whose sum is σ = 159943680. Its totient is φ = 13514688.

The previous prime is 55966579. The next prime is 55966621. The reversal of 55966590 is 9566955.

55966590 is a `hidden beast` number, since 5 + 59 + 6 + 6 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38619 + ... + 40041.

It is an arithmetic number, because the mean of its divisors is an integer number (1666080).

Almost surely, 2^55966590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55966590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79971840).

55966590 is an abundant number, since it is smaller than the sum of its proper divisors (103977090).

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

55966590 is a wasteful number, since it uses less digits than its factorization.

55966590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 55966590 is about 7481.0821409740. The cubic root of 55966590 is about 382.5101368581.

The spelling of 55966590 in words is "fifty-five million, nine hundred sixty-six thousand, five hundred ninety".