1038816 has 36 divisors (see below), whose sum is σ = 2954952. Its totient is φ = 346176.

The previous prime is 1038811. The next prime is 1038823. The reversal of 1038816 is 6188301.

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 1038816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1516 + ... + 2091.

It is an arithmetic number, because the mean of its divisors is an integer number (82082).

2^1038816 is an apocalyptic number.

1038816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1038816 is an abundant number, since it is smaller than the sum of its proper divisors (1916136).

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

1038816 is a wasteful number, since it uses less digits than its factorization.

1038816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3612 counting only the distinct ones).

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

The square root of 1038816 is about 1019.2232336441. The cubic root of 1038816 is about 101.2774776818.

It can be divided in two parts, 103881 and 6, that multiplied together give a triangular number (623286 = T₁₁₁₆).

The spelling of 1038816 in words is "one million, thirty-eight thousand, eight hundred sixteen".