1088416 has 48 divisors (see below), whose sum is σ = 2528064. Its totient is φ = 451584.

The previous prime is 1088413. The next prime is 1088419. The reversal of 1088416 is 6148801.

1088416 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (1088413) and next prime (1088419).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1088413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9576 + ... + 9688.

It is an arithmetic number, because the mean of its divisors is an integer number (52668).

2^1088416 is an apocalyptic number.

1088416 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 1088416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264032).

1088416 is an abundant number, since it is smaller than the sum of its proper divisors (1439648).

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

1088416 is a wasteful number, since it uses less digits than its factorization.

1088416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 1088416 is about 1043.2717766718. The cubic root of 1088416 is about 102.8643704504.

The spelling of 1088416 in words is "one million, eighty-eight thousand, four hundred sixteen".