53319680 has 96 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 20643840.

The previous prime is 53319671. The next prime is 53319689. The reversal of 53319680 is 8691335.

It is an interprime number because it is at equal distance from previous prime (53319671) and next prime (53319689).

It is a self number, because there is not a number n which added to its sum of digits gives 53319680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53319689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419777 + ... + 419903.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^53319680 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 53319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

53319680 is an abundant number, since it is smaller than the sum of its proper divisors (78768640).

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

53319680 is a wasteful number, since it uses less digits than its factorization.

53319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 53319680 is about 7302.0325937372. The cubic root of 53319680 is about 376.3822881146.

The spelling of 53319680 in words is "fifty-three million, three hundred nineteen thousand, six hundred eighty".