16564240 has 80 divisors (see below), whose sum is σ = 48032640. Its totient is φ = 5160960.

The previous prime is 16564237. The next prime is 16564241. The reversal of 16564240 is 4246561.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 16564199 and 16564208.

It is not an unprimeable number, because it can be changed into a prime (16564241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4816 + ... + 7504.

It is an arithmetic number, because the mean of its divisors is an integer number (600408).

Almost surely, 2^16564240 is an apocalyptic number.

16564240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16564240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24016320).

16564240 is an abundant number, since it is smaller than the sum of its proper divisors (31468400).

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

16564240 is a wasteful number, since it uses less digits than its factorization.

16564240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 16564240 is about 4069.9189181113. The cubic root of 16564240 is about 254.9121317147.

The spelling of 16564240 in words is "sixteen million, five hundred sixty-four thousand, two hundred forty".