53329680 has 120 divisors (see below), whose sum is σ = 189677592. Its totient is φ = 13381632.

The previous prime is 53329657. The next prime is 53329681. The reversal of 53329680 is 8692335.

It can be written as a sum of positive squares in 4 ways, for example, as 29942784 + 23386896 = 5472^2 + 4836^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (53329681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10062 + ... + 14418.

Almost surely, 2^53329680 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 53329680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94838796).

53329680 is an abundant number, since it is smaller than the sum of its proper divisors (136347912).

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

53329680 is a wasteful number, since it uses less digits than its factorization.

53329680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 53329680 is about 7302.7173024841. The cubic root of 53329680 is about 376.4058165604.

The spelling of 53329680 in words is "fifty-three million, three hundred twenty-nine thousand, six hundred eighty".