10157616 has 80 divisors (see below), whose sum is σ = 33331200. Its totient is φ = 2901312.

The previous prime is 10157611. The next prime is 10157629. The reversal of 10157616 is 61675101.

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 10157616.

It is not an unprimeable number, because it can be changed into a prime (10157611) 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 15 ways as a sum of consecutive naturals, for example, 1345 + ... + 4703.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 2^10157616 is an apocalyptic number.

10157616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10157616 is the 2016-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10157616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665600).

10157616 is an abundant number, since it is smaller than the sum of its proper divisors (23173584).

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

10157616 is a wasteful number, since it uses less digits than its factorization.

10157616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10157616 is about 3187.1015045022. The cubic root of 10157616 is about 216.5694848856.

The spelling of 10157616 in words is "ten million, one hundred fifty-seven thousand, six hundred sixteen".