54640000 has 80 divisors (see below), whose sum is σ = 136222020. Its totient is φ = 21824000.

The previous prime is 54639997. The next prime is 54640007. The reversal of 54640000 is 4645.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 54640000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54640007) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 79659 + ... + 80341.

Almost surely, 2^54640000 is an apocalyptic number.

54640000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68111010).

54640000 is an abundant number, since it is smaller than the sum of its proper divisors (81582020).

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

54640000 is an frugal number, since it uses more digits than its factorization.

54640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 54640000 is about 7391.8874450305. The cubic root of 54640000 is about 379.4636940508.

Adding to 54640000 its reverse (4645), we get a palindrome (54644645).

The spelling of 54640000 in words is "fifty-four million, six hundred forty thousand".