1035648 has 96 divisors (see below), whose sum is σ = 3182400. Its totient is φ = 322560.

The previous prime is 1035641. The next prime is 1035649. The reversal of 1035648 is 8465301.

1035648 is a `hidden beast` number, since 10 + 3 + 5 + 648 = 666.

1035648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×1035648³ = 3332404921422053376, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33393 + ... + 33423.

It is an arithmetic number, because the mean of its divisors is an integer number (33150).

2^1035648 is an apocalyptic number.

1035648 is a gapful number since it is divisible by the number (18) 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 1035648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591200).

1035648 is an abundant number, since it is smaller than the sum of its proper divisors (2146752).

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

1035648 is a wasteful number, since it uses less digits than its factorization.

1035648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1035648 is about 1017.6679222615. The cubic root of 1035648 is about 101.1744200477.

It can be divided in two parts, 10356 and 48, that added together give a square (10404 = 102²).

The spelling of 1035648 in words is "one million, thirty-five thousand, six hundred forty-eight".