10241616 has 160 divisors (see below), whose sum is σ = 35140608. Its totient is φ = 2488320.

The previous prime is 10241603. The next prime is 10241653. The reversal of 10241616 is 61614201.

It is a Harshad number since it is a multiple of its sum of digits (21).

10241616 is a modest number, since divided by 1616 gives 1024 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10241592 and 10241601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62751 + ... + 62913.

Almost surely, 2^10241616 is an apocalyptic number.

10241616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10241616 is the 1848-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10241616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17570304).

10241616 is an abundant number, since it is smaller than the sum of its proper divisors (24898992).

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

10241616 is a wasteful number, since it uses less digits than its factorization.

10241616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10241616 is about 3200.2524900389. The cubic root of 10241616 is about 217.1648319009.

Adding to 10241616 its reverse (61614201), we get a palindrome (71855817).

The spelling of 10241616 in words is "ten million, two hundred forty-one thousand, six hundred sixteen".