54611424 has 144 divisors (see below), whose sum is σ = 179891712. Its totient is φ = 15393024.

The previous prime is 54611423. The next prime is 54611441. The reversal of 54611424 is 42411645.

54611424 is a `hidden beast` number, since 5 + 4 + 611 + 42 + 4 = 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 (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54611423) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 207517 + ... + 207779.

It is an arithmetic number, because the mean of its divisors is an integer number (1249248).

Almost surely, 2^54611424 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 54611424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89945856).

54611424 is an abundant number, since it is smaller than the sum of its proper divisors (125280288).

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

54611424 is a wasteful number, since it uses less digits than its factorization.

54611424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 54611424 is about 7389.9542623754. The cubic root of 54611424 is about 379.3975310114.

The spelling of 54611424 in words is "fifty-four million, six hundred eleven thousand, four hundred twenty-four".