56187648 has 144 divisors (see below), whose sum is σ = 181507200. Its totient is φ = 17003520.

The previous prime is 56187623. The next prime is 56187661. The reversal of 56187648 is 84678165.

It is a happy number.

56187648 is a `hidden beast` number, since 561 + 87 + 6 + 4 + 8 = 666.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 75663 + ... + 76401.

Almost surely, 2^56187648 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 56187648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90753600).

56187648 is an abundant number, since it is smaller than the sum of its proper divisors (125319552).

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

56187648 is a wasteful number, since it uses less digits than its factorization.

56187648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 755 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 56187648 is about 7495.8420474287. The cubic root of 56187648 is about 383.0130907409.

It can be divided in two parts, 561 and 87648, that added together give a square (88209 = 297²).

The spelling of 56187648 in words is "fifty-six million, one hundred eighty-seven thousand, six hundred forty-eight".