54680640 has 224 divisors, whose sum is σ = 202874880. Its totient is φ = 12220416.

The previous prime is 54680617. The next prime is 54680641. The reversal of 54680640 is 4608645.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (54680641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530829 + ... + 530931.

Almost surely, 2^54680640 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 54680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101437440).

54680640 is an abundant number, since it is smaller than the sum of its proper divisors (148194240).

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

54680640 is a wasteful number, since it uses less digits than its factorization.

54680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 54680640 is about 7394.6358936732. The cubic root of 54680640 is about 379.5577495824.

The spelling of 54680640 in words is "fifty-four million, six hundred eighty thousand, six hundred forty".