54956720 has 80 divisors (see below), whose sum is σ = 157281600. Its totient is φ = 17390592.

The previous prime is 54956719. The next prime is 54956723. The reversal of 54956720 is 2765945.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (54956723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3506 + ... + 11054.

It is an arithmetic number, because the mean of its divisors is an integer number (1966020).

Almost surely, 2^54956720 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 54956720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78640800).

54956720 is an abundant number, since it is smaller than the sum of its proper divisors (102324880).

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

54956720 is a wasteful number, since it uses less digits than its factorization.

54956720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 54956720 is about 7413.2799758272. The cubic root of 54956720 is about 380.1954673038.

The spelling of 54956720 in words is "fifty-four million, nine hundred fifty-six thousand, seven hundred twenty".