54653680 has 40 divisors (see below), whose sum is σ = 128398032. Its totient is φ = 21633024.

The previous prime is 54653663. The next prime is 54653689. The reversal of 54653680 is 8635645.

54653680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54653689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4239 + ... + 11281.

Almost surely, 2^54653680 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 54653680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64199016).

54653680 is an abundant number, since it is smaller than the sum of its proper divisors (73744352).

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

54653680 is a wasteful number, since it uses less digits than its factorization.

54653680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7153 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 54653680 is about 7392.8127258845. The cubic root of 54653680 is about 379.4953596814.

The spelling of 54653680 in words is "fifty-four million, six hundred fifty-three thousand, six hundred eighty".