53809680 has 80 divisors (see below), whose sum is σ = 168114240. Its totient is φ = 14237184.

The previous prime is 53809663. The next prime is 53809697. The reversal of 53809680 is 8690835.

It is an interprime number because it is at equal distance from previous prime (53809663) and next prime (53809697).

It is a tau number, because it is divible by the number of its divisors (80).

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, 32554 + ... + 34166.

It is an arithmetic number, because the mean of its divisors is an integer number (2101428).

Almost surely, 2^53809680 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 53809680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84057120).

53809680 is an abundant number, since it is smaller than the sum of its proper divisors (114304560).

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

53809680 is a wasteful number, since it uses less digits than its factorization.

53809680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 53809680 is about 7335.5081623566. The cubic root of 53809680 is about 377.5317400910.

The spelling of 53809680 in words is "fifty-three million, eight hundred nine thousand, six hundred eighty".