1033664 has 28 divisors (see below), whose sum is σ = 2121408. Its totient is φ = 499200.

The previous prime is 1033663. The next prime is 1033667. The reversal of 1033664 is 4663301.

1033664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1033664² = 2136922529792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1724 + ... + 2244.

2^1033664 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 1033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060704).

1033664 is an abundant number, since it is smaller than the sum of its proper divisors (1087744).

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

1033664 is an equidigital number, since it uses as much as digits as its factorization.

1033664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 1033664 is about 1016.6926772629. The cubic root of 1033664 is about 101.1097718384.

Adding to 1033664 its reverse (4663301), we get a palindrome (5696965).

The spelling of 1033664 in words is "one million, thirty-three thousand, six hundred sixty-four".