54009312 has 96 divisors (see below), whose sum is σ = 163296000. Its totient is φ = 15310848.

The previous prime is 54009301. The next prime is 54009317. The reversal of 54009312 is 21390045.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54009317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120064 + ... + 120512.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^54009312 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 54009312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

54009312 is an abundant number, since it is smaller than the sum of its proper divisors (109286688).

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

54009312 is a wasteful number, since it uses less digits than its factorization.

54009312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 54009312 is about 7349.1028023834. The cubic root of 54009312 is about 377.9980403583.

Adding to 54009312 its reverse (21390045), we get a palindrome (75399357).

The spelling of 54009312 in words is "fifty-four million, nine thousand, three hundred twelve".