54546336 has 144 divisors (see below), whose sum is σ = 177080904. Its totient is φ = 15777792.

The previous prime is 54546313. The next prime is 54546337. The reversal of 54546336 is 63364545.

It can be written as a sum of positive squares in 4 ways, for example, as 52707600 + 1838736 = 7260^2 + 1356^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 54546336.

It is not an unprimeable number, because it can be changed into a prime (54546337) 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, 63220 + ... + 64076.

Almost surely, 2^54546336 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 54546336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88540452).

54546336 is an abundant number, since it is smaller than the sum of its proper divisors (122534568).

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

54546336 is a wasteful number, since it uses less digits than its factorization.

54546336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 892 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 54546336 is about 7385.5491332737. The cubic root of 54546336 is about 379.2467442242.

The spelling of 54546336 in words is "fifty-four million, five hundred forty-six thousand, three hundred thirty-six".