54329760 has 144 divisors (see below), whose sum is σ = 191940840. Its totient is φ = 13977600.

The previous prime is 54329741. The next prime is 54329767. The reversal of 54329760 is 6792345.

It can be written as a sum of positive squares in 4 ways, for example, as 25040016 + 29289744 = 5004^2 + 5412^2 .

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 not an unprimeable number, because it can be changed into a prime (54329767) 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, 41110 + ... + 42410.

Almost surely, 2^54329760 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 54329760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95970420).

54329760 is an abundant number, since it is smaller than the sum of its proper divisors (137611080).

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

54329760 is a wasteful number, since it uses less digits than its factorization.

54329760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 54329760 is about 7370.8724042680. The cubic root of 54329760 is about 378.7441459083.

It can be divided in two parts, 543 and 29760, that added together give a palindrome (30303).

The spelling of 54329760 in words is "fifty-four million, three hundred twenty-nine thousand, seven hundred sixty".