1036128 has 48 divisors (see below), whose sum is σ = 2794176. Its totient is φ = 336000.

The previous prime is 1036121. The next prime is 1036129. The reversal of 1036128 is 8216301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1036128³ = 3337040557762707456, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036121) 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, 4003 + ... + 4253.

It is an arithmetic number, because the mean of its divisors is an integer number (58212).

2^1036128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397088).

1036128 is an abundant number, since it is smaller than the sum of its proper divisors (1758048).

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

1036128 is a wasteful number, since it uses less digits than its factorization.

1036128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1036128 is about 1017.9037282572. The cubic root of 1036128 is about 101.1900483374.

The spelling of 1036128 in words is "one million, thirty-six thousand, one hundred twenty-eight".