54616536 has 192 divisors, whose sum is σ = 172972800. Its totient is φ = 15434496.

The previous prime is 54616531. The next prime is 54616543. The reversal of 54616536 is 63561645.

54616536 is a `hidden beast` number, since 5 + 4 + 616 + 5 + 36 = 666.

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

Its product of digits (64800) is a multiple of the sum of its prime factors (150).

It is a self number, because there is not a number n which added to its sum of digits gives 54616536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54616531) 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 47 ways as a sum of consecutive naturals, for example, 925675 + ... + 925733.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 2^54616536 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 54616536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

54616536 is an abundant number, since it is smaller than the sum of its proper divisors (118356264).

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

54616536 is a wasteful number, since it uses less digits than its factorization.

54616536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 143 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 54616536 is about 7390.3001292234. The cubic root of 54616536 is about 379.4093687035.

The spelling of 54616536 in words is "fifty-four million, six hundred sixteen thousand, five hundred thirty-six".