10977616 has 40 divisors (see below), whose sum is σ = 23201640. Its totient is φ = 5001216.

The previous prime is 10977581. The next prime is 10977619. The reversal of 10977616 is 61677901.

It can be written as a sum of positive squares in 4 ways, for example, as 87616 + 10890000 = 296^2 + 3300^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10977619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18216 + ... + 18808.

It is an arithmetic number, because the mean of its divisors is an integer number (580041).

Almost surely, 2^10977616 is an apocalyptic number.

10977616 is a gapful number since it is divisible by the number (16) 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 10977616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11600820).

10977616 is an abundant number, since it is smaller than the sum of its proper divisors (12224024).

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

10977616 is a wasteful number, since it uses less digits than its factorization.

10977616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 10977616 is about 3313.2485569302. The cubic root of 10977616 is about 222.2470533734.

The spelling of 10977616 in words is "ten million, nine hundred seventy-seven thousand, six hundred sixteen".