54620640 has 144 divisors (see below), whose sum is σ = 189051408. Its totient is φ = 14358528.

The previous prime is 54620633. The next prime is 54620669. The reversal of 54620640 is 4602645.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 119292 + ... + 119748.

It is an arithmetic number, because the mean of its divisors is an integer number (1312857).

Almost surely, 2^54620640 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 54620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94525704).

54620640 is an abundant number, since it is smaller than the sum of its proper divisors (134430768).

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

54620640 is a wasteful number, since it uses less digits than its factorization.

54620640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54620640 is about 7390.5777852614. The cubic root of 54620640 is about 379.4188716683.

The spelling of 54620640 in words is "fifty-four million, six hundred twenty thousand, six hundred forty".