54800640 has 216 divisors, whose sum is σ = 195144768. Its totient is φ = 14192640.

The previous prime is 54800621. The next prime is 54800657. The reversal of 54800640 is 4600845.

It is a super-2 number, since 2×54800640² = 6006220288819200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 771805 + ... + 771875.

It is an arithmetic number, because the mean of its divisors is an integer number (903448).

Almost surely, 2^54800640 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 54800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97572384).

54800640 is an abundant number, since it is smaller than the sum of its proper divisors (140344128).

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

54800640 is a wasteful number, since it uses less digits than its factorization.

54800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54800640 is about 7402.7454366606. The cubic root of 54800640 is about 379.8352009315.

The spelling of 54800640 in words is "fifty-four million, eight hundred thousand, six hundred forty".