10974816 has 72 divisors (see below), whose sum is σ = 31842720. Its totient is φ = 3584256.

The previous prime is 10974811. The next prime is 10974823. The reversal of 10974816 is 61847901.

10974816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10974811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14905 + ... + 15623.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 2^10974816 is an apocalyptic number.

10974816 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 10974816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360).

10974816 is an abundant number, since it is smaller than the sum of its proper divisors (20867904).

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

10974816 is a wasteful number, since it uses less digits than its factorization.

10974816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10974816 is about 3312.8259839599. The cubic root of 10974816 is about 222.2281559897.

The spelling of 10974816 in words is "ten million, nine hundred seventy-four thousand, eight hundred sixteen".