54754560 has 324 divisors, whose sum is σ = 222646788. Its totient is φ = 12386304.

The previous prime is 54754549. The next prime is 54754571. The reversal of 54754560 is 6545745.

It is a happy number.

54754560 is a `hidden beast` number, since 5 + 47 + 54 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (54754549) and next prime (54754571).

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 32626944 = 4704^2 + 5712^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 564432 + ... + 564528.

Almost surely, 2^54754560 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 54754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111323394).

54754560 is an abundant number, since it is smaller than the sum of its proper divisors (167892228).

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

54754560 is a wasteful number, since it uses less digits than its factorization.

54754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 54754560 is about 7399.6324233032. The cubic root of 54754560 is about 379.7287075633.

The spelling of 54754560 in words is "fifty-four million, seven hundred fifty-four thousand, five hundred sixty".