1023600 has 60 divisors (see below), whose sum is σ = 3282776. Its totient is φ = 272640.

The previous prime is 1023577. The next prime is 1023601. The reversal of 1023600 is 63201.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023601) 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, 774 + ... + 1626.

2^1023600 is an apocalyptic number.

1023600 is a gapful number since it is divisible by the number (10) 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 1023600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641388).

1023600 is an abundant number, since it is smaller than the sum of its proper divisors (2259176).

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

1023600 is a wasteful number, since it uses less digits than its factorization.

1023600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1023600 is about 1011.7311895953. The cubic root of 1023600 is about 100.7805581047.

Adding to 1023600 its reverse (63201), we get a palindrome (1086801).

The spelling of 1023600 in words is "one million, twenty-three thousand, six hundred".