55653948 has 72 divisors (see below), whose sum is σ = 161572320. Its totient is φ = 15822720.

The previous prime is 55653893. The next prime is 55653967. The reversal of 55653948 is 84935655.

55653948 is a `hidden beast` number, since 556 + 5 + 3 + 94 + 8 = 666.

55653948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 67378 + ... + 68198.

It is an arithmetic number, because the mean of its divisors is an integer number (2244060).

Almost surely, 2^55653948 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 55653948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80786160).

55653948 is an abundant number, since it is smaller than the sum of its proper divisors (105918372).

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

55653948 is a wasteful number, since it uses less digits than its factorization.

55653948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1102 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 55653948 is about 7460.1573709943. The cubic root of 55653948 is about 381.7965437954.

The spelling of 55653948 in words is "fifty-five million, six hundred fifty-three thousand, nine hundred forty-eight".