55744560 has 120 divisors (see below), whose sum is σ = 188894160. Its totient is φ = 14731776.

The previous prime is 55744531. The next prime is 55744567. The reversal of 55744560 is 6544755.

55744560 = T₁₃₉ + T₁₄₀ + ... + T₆₉₅.

It is a happy number.

55744560 is a `hidden beast` number, since 5 + 57 + 44 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (55744567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99802 + ... + 100358.

It is an arithmetic number, because the mean of its divisors is an integer number (1574118).

Almost surely, 2^55744560 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 55744560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94447080).

55744560 is an abundant number, since it is smaller than the sum of its proper divisors (133149600).

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

55744560 is a wasteful number, since it uses less digits than its factorization.

55744560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

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

The square root of 55744560 is about 7466.2279633025. The cubic root of 55744560 is about 382.0036365616.

The spelling of 55744560 in words is "fifty-five million, seven hundred forty-four thousand, five hundred sixty".