53435808 has 96 divisors (see below), whose sum is σ = 162691200. Its totient is φ = 17031168.

The previous prime is 53435791. The next prime is 53435821. The reversal of 53435808 is 80853435.

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

It is a super-2 number, since 2×53435808² = 5710771153225728, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18528 + ... + 21216.

It is an arithmetic number, because the mean of its divisors is an integer number (1694700).

Almost surely, 2^53435808 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 53435808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81345600).

53435808 is an abundant number, since it is smaller than the sum of its proper divisors (109255392).

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

53435808 is a wasteful number, since it uses less digits than its factorization.

53435808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 53435808 is about 7309.9800273325. The cubic root of 53435808 is about 376.6553381962.

The spelling of 53435808 in words is "fifty-three million, four hundred thirty-five thousand, eight hundred eight".