54849816 has 96 divisors (see below), whose sum is σ = 173316000. Its totient is φ = 15664320.

The previous prime is 54849787. The next prime is 54849833. The reversal of 54849816 is 61894845.

54849816 is a `hidden beast` number, since 548 + 4 + 98 + 16 = 666.

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 23 ways as a sum of consecutive naturals, for example, 23586 + ... + 25806.

It is an arithmetic number, because the mean of its divisors is an integer number (1805375).

Almost surely, 2^54849816 is an apocalyptic number.

54849816 is a gapful number since it is divisible by the number (56) 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 54849816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86658000).

54849816 is an abundant number, since it is smaller than the sum of its proper divisors (118466184).

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

54849816 is a wasteful number, since it uses less digits than its factorization.

54849816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2233 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 54849816 is about 7406.0661622754. The cubic root of 54849816 is about 379.9487834944.

The spelling of 54849816 in words is "fifty-four million, eight hundred forty-nine thousand, eight hundred sixteen".