53705376 has 96 divisors (see below), whose sum is σ = 159364800. Its totient is φ = 17591040.

The previous prime is 53705369. The next prime is 53705387. The reversal of 53705376 is 67350735.

53705376 is a `hidden beast` number, since 53 + 70 + 537 + 6 = 666.

53705376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×53705376² = 5768534822602752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53705376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52195 + ... + 53213.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 2^53705376 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 53705376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79682400).

53705376 is an abundant number, since it is smaller than the sum of its proper divisors (105659424).

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

53705376 is a wasteful number, since it uses less digits than its factorization.

53705376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The square root of 53705376 is about 7328.3951858507. The cubic root of 53705376 is about 377.2876480654.

The spelling of 53705376 in words is "fifty-three million, seven hundred five thousand, three hundred seventy-six".