1077216 has 72 divisors (see below), whose sum is σ = 3303720. Its totient is φ = 306432.

The previous prime is 1077203. The next prime is 1077221. The reversal of 1077216 is 6127701.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4590 + ... + 4818.

It is an arithmetic number, because the mean of its divisors is an integer number (45885).

2^1077216 is an apocalyptic number.

1077216 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 1077216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651860).

1077216 is an abundant number, since it is smaller than the sum of its proper divisors (2226504).

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

1077216 is a wasteful number, since it uses less digits than its factorization.

1077216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 1077216 is about 1037.8901675996. The cubic root of 1077216 is about 102.5103221808.

The spelling of 1077216 in words is "one million, seventy-seven thousand, two hundred sixteen".