55461560 has 96 divisors (see below), whose sum is σ = 156854880. Its totient is φ = 17276160.

The previous prime is 55461509. The next prime is 55461569. The reversal of 55461560 is 6516455.

55461560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55461569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33062 + ... + 34698.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^55461560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55461560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

55461560 is an abundant number, since it is smaller than the sum of its proper divisors (101393320).

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

55461560 is a wasteful number, since it uses less digits than its factorization.

55461560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 55461560 is about 7447.2518421227. The cubic root of 55461560 is about 381.3560966030.

The spelling of 55461560 in words is "fifty-five million, four hundred sixty-one thousand, five hundred sixty".