54630144 has 108 divisors (see below), whose sum is σ = 159591432. Its totient is φ = 17971200.

The previous prime is 54630137. The next prime is 54630151. The reversal of 54630144 is 44103645.

It is an interprime number because it is at equal distance from previous prime (54630137) and next prime (54630151).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301734 + ... + 301914.

Almost surely, 2^54630144 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 54630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79795716).

54630144 is an abundant number, since it is smaller than the sum of its proper divisors (104961288).

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

54630144 is a wasteful number, since it uses less digits than its factorization.

54630144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54630144 is about 7391.2207381460. The cubic root of 54630144 is about 379.4408767066.

Adding to 54630144 its reverse (44103645), we get a palindrome (98733789).

The spelling of 54630144 in words is "fifty-four million, six hundred thirty thousand, one hundred forty-four".