53346816 has 160 divisors (see below), whose sum is σ = 167935680. Its totient is φ = 16662528.

The previous prime is 53346809. The next prime is 53346823. The reversal of 53346816 is 61864335.

53346816 is a `hidden beast` number, since 533 + 46 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (53346809) and next prime (53346823).

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

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 15 ways as a sum of consecutive naturals, for example, 234895 + ... + 235121.

It is an arithmetic number, because the mean of its divisors is an integer number (1049598).

Almost surely, 2^53346816 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 53346816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83967840).

53346816 is an abundant number, since it is smaller than the sum of its proper divisors (114588864).

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

53346816 is a wasteful number, since it uses less digits than its factorization.

53346816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 249 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 53346816 is about 7303.8904701536. The cubic root of 53346816 is about 376.4461280677.

The spelling of 53346816 in words is "fifty-three million, three hundred forty-six thousand, eight hundred sixteen".