55760544 has 144 divisors (see below), whose sum is σ = 191999808. Its totient is φ = 14985216.

The previous prime is 55760521. The next prime is 55760569. The reversal of 55760544 is 44506755.

It is a happy number.

55760544 is a `hidden beast` number, since 5 + 5 + 7 + 605 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55760499 and 55760508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33459 + ... + 35085.

It is an arithmetic number, because the mean of its divisors is an integer number (1333332).

Almost surely, 2^55760544 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 55760544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95999904).

55760544 is an abundant number, since it is smaller than the sum of its proper divisors (136239264).

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

55760544 is a wasteful number, since it uses less digits than its factorization.

55760544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 55760544 is about 7467.2983066167. The cubic root of 55760544 is about 382.0401445343.

The spelling of 55760544 in words is "fifty-five million, seven hundred sixty thousand, five hundred forty-four".