54765216 has 144 divisors (see below), whose sum is σ = 173365920. Its totient is φ = 16258560.

The previous prime is 54765209. The next prime is 54765223. The reversal of 54765216 is 61256745.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54765209) and next prime (54765223).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an alternating number because its digits alternate between odd and even.

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, 186766 + ... + 187058.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 2^54765216 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 54765216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682960).

54765216 is an abundant number, since it is smaller than the sum of its proper divisors (118600704).

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

54765216 is a wasteful number, since it uses less digits than its factorization.

54765216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 368 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 54765216 is about 7400.3524240404. The cubic root of 54765216 is about 379.7533394640.

The spelling of 54765216 in words is "fifty-four million, seven hundred sixty-five thousand, two hundred sixteen".