54464640 has 128 divisors (see below), whose sum is σ = 182865600. Its totient is φ = 13750272.

The previous prime is 54464623. The next prime is 54464647. The reversal of 54464640 is 4646445.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (54464647) 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, 35734 + ... + 37226.

Almost surely, 2^54464640 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 54464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91432800).

54464640 is an abundant number, since it is smaller than the sum of its proper divisors (128400960).

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

54464640 is a wasteful number, since it uses less digits than its factorization.

54464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 54464640 is about 7380.0162601447. The cubic root of 54464640 is about 379.0573124783.

The spelling of 54464640 in words is "fifty-four million, four hundred sixty-four thousand, six hundred forty".