54545680 has 80 divisors (see below), whose sum is σ = 145883520. Its totient is φ = 18579456.

The previous prime is 54545663. The next prime is 54545683. The reversal of 54545680 is 8654545.

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 (54545683) 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, 143731 + ... + 144109.

It is an arithmetic number, because the mean of its divisors is an integer number (1823544).

Almost surely, 2^54545680 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 54545680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72941760).

54545680 is an abundant number, since it is smaller than the sum of its proper divisors (91337840).

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

54545680 is a wasteful number, since it uses less digits than its factorization.

54545680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The square root of 54545680 is about 7385.5047220891. The cubic root of 54545680 is about 379.2452238846.

It can be divided in two parts, 54545 and 680, that added together give a square (55225 = 235²).

The spelling of 54545680 in words is "fifty-four million, five hundred forty-five thousand, six hundred eighty".