10573416 has 168 divisors, whose sum is σ = 35511570. Its totient is φ = 2939328.

The previous prime is 10573411. The next prime is 10573417. The reversal of 10573416 is 61437501.

It can be written as a sum of positive squares in only one way, i.e., 7001316 + 3572100 = 2646^2 + 1890^2 .

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10573416² = 223594251818112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10573416.

It is not an unprimeable number, because it can be changed into a prime (10573411) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 285750 + ... + 285786.

Almost surely, 2^10573416 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 10573416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755785).

10573416 is an abundant number, since it is smaller than the sum of its proper divisors (24938154).

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

10573416 is an equidigital number, since it uses as much as digits as its factorization.

10573416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 10573416 is about 3251.6789509421. The cubic root of 10573416 is about 219.4851320782.

The spelling of 10573416 in words is "ten million, five hundred seventy-three thousand, four hundred sixteen".