1035936 has 96 divisors (see below), whose sum is σ = 3326400. Its totient is φ = 311040.

The previous prime is 1035917. The next prime is 1035949. The reversal of 1035936 is 6395301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1035936³ = 3335185787694317568, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 9450 + ... + 9558.

It is an arithmetic number, because the mean of its divisors is an integer number (34650).

2^1035936 is an apocalyptic number.

1035936 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 1035936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663200).

1035936 is an abundant number, since it is smaller than the sum of its proper divisors (2290464).

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

1035936 is a wasteful number, since it uses less digits than its factorization.

1035936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 1035936 is about 1017.8094124147. The cubic root of 1035936 is about 101.1837976009.

The spelling of 1035936 in words is "one million, thirty-five thousand, nine hundred thirty-six".