54663840 has 576 divisors, whose sum is σ = 254741760. Its totient is φ = 10321920.

The previous prime is 54663821. The next prime is 54663859. The reversal of 54663840 is 4836645.

It is an interprime number because it is at equal distance from previous prime (54663821) and next prime (54663859).

It is a super-3 number, since 3×54663840³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54663795 and 54663804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1884946 + ... + 1884974.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 2^54663840 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 54663840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

54663840 is an abundant number, since it is smaller than the sum of its proper divisors (200077920).

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

54663840 is a wasteful number, since it uses less digits than its factorization.

54663840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 54663840 is about 7393.4998478393. The cubic root of 54663840 is about 379.5188740112.

The spelling of 54663840 in words is "fifty-four million, six hundred sixty-three thousand, eight hundred forty".