10216640 has 56 divisors (see below), whose sum is σ = 27809952. Its totient is φ = 3502080.

The previous prime is 10216637. The next prime is 10216649. The reversal of 10216640 is 4661201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10216649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41 + ... + 4520.

Almost surely, 2^10216640 is an apocalyptic number.

10216640 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 10216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904976).

10216640 is an abundant number, since it is smaller than the sum of its proper divisors (17593312).

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

10216640 is an equidigital number, since it uses as much as digits as its factorization.

10216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10216640 is about 3196.3479159816. The cubic root of 10216640 is about 216.9881565312.

Adding to 10216640 its reverse (4661201), we get a palindrome (14877841).

The spelling of 10216640 in words is "ten million, two hundred sixteen thousand, six hundred forty".