10878816 has 96 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 3193344.

The previous prime is 10878809. The next prime is 10878823. The reversal of 10878816 is 61887801.

It is an interprime number because it is at equal distance from previous prime (10878809) and next prime (10878823).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28515 + ... + 28893.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 2^10878816 is an apocalyptic number.

10878816 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 10878816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

10878816 is an abundant number, since it is smaller than the sum of its proper divisors (21296544).

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

10878816 is a wasteful number, since it uses less digits than its factorization.

10878816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The square root of 10878816 is about 3298.3050192485. The cubic root of 10878816 is about 221.5782920431.

The spelling of 10878816 in words is "ten million, eight hundred seventy-eight thousand, eight hundred sixteen".