54761280 has 224 divisors, whose sum is σ = 206288640. Its totient is φ = 12042240.

The previous prime is 54761261. The next prime is 54761293. The reversal of 54761280 is 8216745.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 194740 + ... + 195020.

Almost surely, 2^54761280 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 54761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103144320).

54761280 is an abundant number, since it is smaller than the sum of its proper divisors (151527360).

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

54761280 is a wasteful number, since it uses less digits than its factorization.

54761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 54761280 is about 7400.0864859811. The cubic root of 54761280 is about 379.7442415665.

The spelling of 54761280 in words is "fifty-four million, seven hundred sixty-one thousand, two hundred eighty".