54369536 has 108 divisors (see below), whose sum is σ = 127870596. Its totient is φ = 22855680.

The previous prime is 54369533. The next prime is 54369551. The reversal of 54369536 is 63596345.

It can be written as a sum of positive squares in 2 ways, for example, as 24601600 + 29767936 = 4960^2 + 5456^2 .

Its product of digits (291600) is a multiple of the sum of its prime factors (108).

It is a junction number, because it is equal to n+sod(n) for n = 54369493 and 54369502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54369533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1753841 + ... + 1753871.

It is an arithmetic number, because the mean of its divisors is an integer number (1183987).

Almost surely, 2^54369536 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 54369536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63935298).

54369536 is an abundant number, since it is smaller than the sum of its proper divisors (73501060).

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

54369536 is a wasteful number, since it uses less digits than its factorization.

54369536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 63 counting only the distinct ones).

The product of its digits is 291600, while the sum is 41.

The square root of 54369536 is about 7373.5700986700. The cubic root of 54369536 is about 378.8365523057.

The spelling of 54369536 in words is "fifty-four million, three hundred sixty-nine thousand, five hundred thirty-six".