16573640 has 32 divisors (see below), whose sum is σ = 39485880. Its totient is φ = 6239232.

The previous prime is 16573633. The next prime is 16573649. The reversal of 16573640 is 4637561.

It can be written as a sum of positive squares in 4 ways, for example, as 13942756 + 2630884 = 3734^2 + 1622^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16573597 and 16573606.

It is not an unprimeable number, because it can be changed into a prime (16573649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11507 + ... + 12866.

Almost surely, 2^16573640 is an apocalyptic number.

16573640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16573640 is an abundant number, since it is smaller than the sum of its proper divisors (22912240).

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

16573640 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 16573640 = (34160675)₉.

16573640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24401 (or 24397 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 16573640 is about 4071.0735684829. The cubic root of 16573640 is about 254.9603424167.

The spelling of 16573640 in words is "sixteen million, five hundred seventy-three thousand, six hundred forty".