54814320 has 200 divisors, whose sum is σ = 207955440. Its totient is φ = 13271040.

The previous prime is 54814303. The next prime is 54814337. The reversal of 54814320 is 2341845.

It is an interprime number because it is at equal distance from previous prime (54814303) and next prime (54814337).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 70896 + ... + 71664.

Almost surely, 2^54814320 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 54814320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103977720).

54814320 is an abundant number, since it is smaller than the sum of its proper divisors (153141120).

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

54814320 is a wasteful number, since it uses less digits than its factorization.

54814320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 790 counting only the distinct ones).

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

The square root of 54814320 is about 7403.6693605266. The cubic root of 54814320 is about 379.8668046575.

It can be divided in two parts, 5481 and 4320, that added together give a square (9801 = 99²).

The spelling of 54814320 in words is "fifty-four million, eight hundred fourteen thousand, three hundred twenty".