10876416 has 80 divisors (see below), whose sum is σ = 29675184. Its totient is φ = 3538944.

The previous prime is 10876399. The next prime is 10876427. The reversal of 10876416 is 61467801.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112080 + ... + 112176.

Almost surely, 2^10876416 is an apocalyptic number.

10876416 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 10876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837592).

10876416 is an abundant number, since it is smaller than the sum of its proper divisors (18798768).

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

10876416 is an frugal number, since it uses more digits than its factorization.

10876416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10876416 is about 3297.9411759460. The cubic root of 10876416 is about 221.5619965500.

It can be divided in two parts, 1087 and 6416, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 10876416 in words is "ten million, eight hundred seventy-six thousand, four hundred sixteen".