1146816 has 84 divisors (see below), whose sum is σ = 3605784. Its totient is φ = 345600.

The previous prime is 1146809. The next prime is 1146823. The reversal of 1146816 is 6186411.

It is an interprime number because it is at equal distance from previous prime (1146809) and next prime (1146823).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1146816.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6246 + ... + 6426.

It is an arithmetic number, because the mean of its divisors is an integer number (42926).

2^1146816 is an apocalyptic number.

1146816 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 1146816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802892).

1146816 is an abundant number, since it is smaller than the sum of its proper divisors (2458968).

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

1146816 is a wasteful number, since it uses less digits than its factorization.

1146816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1146816 is about 1070.8949528315. The cubic root of 1146816 is about 104.6721748265.

The spelling of 1146816 in words is "one million, one hundred forty-six thousand, eight hundred sixteen".