10877216 has 48 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 4656960.

The previous prime is 10877213. The next prime is 10877227. The reversal of 10877216 is 61277801.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (10877213) 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, 10481 + ... + 11471.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 2^10877216 is an apocalyptic number.

10877216 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 10877216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

10877216 is an abundant number, since it is smaller than the sum of its proper divisors (14121184).

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

10877216 is an frugal number, since it uses more digits than its factorization.

10877216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 10877216 is about 3298.0624615068. The cubic root of 10877216 is about 221.5674286474.

It can be divided in two parts, 10877 and 216, that multiplied together give a palindrome (2349432).

The spelling of 10877216 in words is "ten million, eight hundred seventy-seven thousand, two hundred sixteen".