54004032 has 168 divisors, whose sum is σ = 165826440. Its totient is φ = 16773120.

The previous prime is 54004021. The next prime is 54004039. The reversal of 54004032 is 23040045.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 51494976 = 1584^2 + 7176^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 54003996 and 54004014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54004039) 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, 885282 + ... + 885342.

Almost surely, 2^54004032 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 54004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82913220).

54004032 is an abundant number, since it is smaller than the sum of its proper divisors (111822408).

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

54004032 is a wasteful number, since it uses less digits than its factorization.

54004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 54004032 is about 7348.7435660799. The cubic root of 54004032 is about 377.9857221448.

Adding to 54004032 its reverse (23040045), we get a palindrome (77044077).

The spelling of 54004032 in words is "fifty-four million, four thousand, thirty-two", and thus it is an eban number.